Paper Citation Record · LEDGER

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules

As of 9 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2506.01161.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.01161 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:02:50.483518Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

verified exact0
verified fuzzy20
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4c2667ed-24ca-4de1-a7ef-a40c215a90f3 · outbound

This paper cites Arambaˇ si´ c, D.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Arambaˇ si´ c, D

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:52.957834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e9e687bd-20e4-44e8-b132-097f12b96dbc · outbound

This paper cites Aronszajn and K.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Aronszajn and K

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:52.940862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 95be644b-1021-44a5-b4f0-826231f482a7 · outbound

This paper cites Arveson,An Invitation toC ∗-algebras, Springer, New York, 1976.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Arveson,An Invitation toC ∗-algebras, Springer, New York, 1976

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:52.921011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2e70bd5b-2faf-4e3f-957f-76c659257181 · outbound

This paper cites Baki´ c and B.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Baki´ c and B

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:52.893674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 75a8eff3-70bb-4f10-b7d5-d9a5c0dea58c · outbound

This paper cites Chmieli´ nski, D.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Chmieli´ nski, D

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:52.877921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 79392b43-c538-4666-989f-b90081fd617f · outbound

This paper cites an unresolved cited work.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:02:52.851774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e19b0a57-230d-4bdd-ad78-c2041ac43d05 · outbound

This paper cites an unresolved cited work.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:02:52.826963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a93588f4-5017-45db-8128-e2ddc5641e4c · outbound

This paper cites On the invariant subspace problem in Hilbert spaces.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules On the invariant subspace problem in Hilbert spaces

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T12:02:48.056864Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39fc5164-4081-4302-9158-8673f2071503 · outbound

This paper cites an unresolved cited work.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:02:52.796477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3378350e-da3d-4f2f-ab86-1399b1573049 · outbound

This paper cites Frank, Self-duality and C-reflexivity of Hilbert C-modules,Z.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Frank, Self-duality and C*-reflexivity of Hilbert C*-modules,Z

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:52.768976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6261bcf5-ef73-48d5-bb8d-a97878b6fb43 · outbound

This paper cites Frank, Geometrical aspects of Hilbert C*-modules,Positivity3(1999), 215-243.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Frank, Geometrical aspects of Hilbert C*-modules,Positivity3(1999), 215-243

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:52.737443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d2230ec0-884d-4fee-a6e3-5952d8e749df · outbound

This paper cites Frank, Characterizing C-algebras of compact operators by generic categorical properties of Hilbert C-modules,J.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Frank, Characterizing C*-algebras of compact operators by generic categorical properties of Hilbert C*-modules,J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:52.710266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e3ef23c4-a423-4248-a592-b5d7377e03d3 · outbound

This paper cites Frank and K.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Frank and K

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:52.676004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 69df6d29-c462-41ff-8ff7-71bf0942a6d4 · outbound

This paper cites Frank and K.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Frank and K

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:52.654430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bbc24657-51e8-462b-a9c3-9436e235d5e0 · outbound

This paper cites Guljaˇ s, Unbounded operators on Hilbert C-modules over C-algebras of compact operators,J.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Guljaˇ s, Unbounded operators on Hilbert C*-modules over C*-algebras of compact operators,J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:52.622176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 54bcb96b-bc52-44b4-a06d-dbf71086bb2e · outbound

This paper cites Holbrook, E.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Holbrook, E

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:52.589691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 12a07830-0b73-4cf4-985e-2d5eb67807fb · outbound

This paper cites Kaplansky, Module over operator algebra,Amer.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Kaplansky, Module over operator algebra,Amer

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:52.567671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 209ed9c0-1d00-4480-91aa-a83a882945be · outbound

This paper cites an unresolved cited work.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:02:52.548200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1e1a37a7-1652-4cf2-854b-7d76e84afb0b · outbound

This paper cites an unresolved cited work.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:02:52.532316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cfe5c871-7701-46f9-804d-a0d2905c85f0 · outbound

This paper cites an unresolved cited work.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:02:52.508162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7e109e76-3d59-4a30-882d-66dc15235301 · outbound

This paper cites an unresolved cited work.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:02:52.489120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bddafb23-7651-4f95-a6cd-6877d40df957 · outbound

This paper cites an unresolved cited work.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:02:52.467451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0c342e19-9027-4faa-9d0b-a64b9265e60b · outbound

This paper cites an unresolved cited work.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:02:52.447637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bf7ee19d-6407-4867-8391-aa413ddb66d7 · outbound

This paper cites an unresolved cited work.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:02:52.423081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 53a7659e-c8f8-41e1-9950-d4d42fccab2c · outbound

This paper cites A Proof of the Invariant Subspace Conjecture for Separable Hilbert Spaces.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules A Proof of the Invariant Subspace Conjecture for Separable Hilbert Spaces

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T12:02:49.585006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f611ec5-5c09-43b3-a72b-89c9f08c2c8c · outbound

This paper cites an unresolved cited work.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:02:52.376818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 186721ba-8a61-4b65-a83e-7ea26f473820 · outbound

This paper cites an unresolved cited work.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:02:52.216573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 289e0567-9f19-4fe6-b4da-fc37e1788584 · outbound

This paper cites Radjavi and P.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Radjavi and P

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:52.077672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9423730c-514d-40f1-8967-4482653171bd · outbound

This paper cites Schweizer, A description of Hilbert C*-modules in which all closed submodules are orthogonally closed,Proc.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Schweizer, A description of Hilbert C*-modules in which all closed submodules are orthogonally closed,Proc

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:51.881812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 871a3f9d-19da-4dfb-b0ff-b72addb0f206 · outbound

This paper cites Sharifi, Descriptions of partial isometries on Hilbert C*-modules,Linear Algebra Appl.4 ¯31 (2009), 883-887.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Sharifi, Descriptions of partial isometries on Hilbert C*-modules,Linear Algebra Appl.4 ¯31 (2009), 883-887

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:51.569280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fd587f84-34d9-45f9-bb7d-3bf4e39e2e01 · outbound

This paper cites Sharifi, The product of operators with closed range in Hilbert C*-modules,Linear Algebra Appl.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Sharifi, The product of operators with closed range in Hilbert C*-modules,Linear Algebra Appl

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:51.404988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d858b1e7-cead-40a7-8962-56e6278ab068 · outbound

This paper cites Sharifi, Generic properties of module maps and characterizing inverse limits of C*-algebras of compact operators,Bull.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Sharifi, Generic properties of module maps and characterizing inverse limits of C*-algebras of compact operators,Bull

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:51.188026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a5105833-6061-4858-b897-e867762ccdc2 · outbound

This paper cites an unresolved cited work.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:02:51.058213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 003cc331-1c1f-4fb9-8e16-35a465448f33 · outbound

This paper cites Xu and L.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Xu and L

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:50.851367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c7b06425-d4f3-4ea7-9631-45c449f0af3a · outbound

This paper cites Zhang, The characterization of Moore-Penrose inverse module maps and their continuity,Rocky Mountain J.

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules Zhang, The characterization of Moore-Penrose inverse module maps and their continuity,Rocky Mountain J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:50.725878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.