Paper Citation Record · LEDGER

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators

As of 13 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2411.13177.

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

pith.paper-citation-record.v1
2411.13177 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T17:01:30.727459Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

32 of 32 outbound references displayed

verified exact0
verified fuzzy30
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6ae2e517-4f01-4fde-ac3c-a3adc7b52051 · outbound

This paper cites Androulakis, A.I.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Androulakis, A.I

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.534826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation aa100d71-5846-4f65-a6b8-e4abb6718173 · outbound

This paper cites Benhida and D.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Benhida and D

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.516692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9253fed3-6403-4c8c-97c7-d18a81deb6aa · outbound

This paper cites Beurling, On two problems concerning linear transformations in Hilbert space.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Beurling, On two problems concerning linear transformations in Hilbert space

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.494149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bc784001-fc8b-4177-8fb5-8d48549a0614 · outbound

This paper cites B¨ ottcher and B.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators B¨ ottcher and B

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.457187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5dc07cd0-813c-4bfa-8986-978088d3363b · outbound

This paper cites Brown and R.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Brown and R

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.434568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dba55bd8-f2fa-48b3-8115-61cb6f83d826 · outbound

This paper cites Brown and C.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Brown and C

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.405403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1c68e631-aeef-43bf-b1aa-b876c5cf1429 · outbound

This paper cites Cˆ amara and T.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Cˆ amara and T

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.381585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c1f0def2-fc07-4df2-9105-47e027e4f687 · outbound

This paper cites Chattopadhyay, S.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Chattopadhyay, S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.360619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dc1419f4-ae18-4963-acd4-6b58000215ab · outbound

This paper cites Chalendar, N.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Chalendar, N

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.339671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9b1c2879-09b1-4101-9651-f6e272cdd859 · outbound

This paper cites Chalendar, E.A.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Chalendar, E.A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.312775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e63105f5-28b1-4983-be7f-586b2bda5fb5 · outbound

This paper cites Chevrot, Kernel of vector-valued Toeplitz operators, Integral Equations Operator Theory 67 (2010), no.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Chevrot, Kernel of vector-valued Toeplitz operators, Integral Equations Operator Theory 67 (2010), no

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.290127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f0c17e0b-4c23-4dfb-bd52-fd8f7d689fa6 · outbound

This paper cites Curto, I.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Curto, I

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.267776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9fb49406-6261-4750-9b67-4a34f099b329 · outbound

This paper cites Fricain and J.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Fricain and J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.238470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 57a35e65-e1b7-4185-9835-c9cee7c85fc0 · outbound

This paper cites Gu, Multiplcative properties of inﬁnite block Toeplitz and Hanke l matrices, Toeplitz Operators and Random Matrices (In Memory of Harold Widom), 371-399, Oper.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Gu, Multiplcative properties of inﬁnite block Toeplitz and Hanke l matrices, Toeplitz Operators and Random Matrices (In Memory of Harold Widom), 371-399, Oper

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.211766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ca2e497c-8195-49c9-8681-37827ebca142 · outbound

This paper cites an unresolved cited work.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-12T17:01:31.182529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a7014513-2fa8-4a56-81b4-dbb60be34a43 · outbound

This paper cites Gu and S.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Gu and S

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.154227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 71ce5e3c-a6ec-45b6-8266-86ac87e9644f · outbound

This paper cites an unresolved cited work.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-12T17:01:31.115303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7184b579-7bca-46cb-9154-81f51926e6b8 · outbound

This paper cites Halmos, Shifts on Hilbert spaces.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Halmos, Shifts on Hilbert spaces

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.091921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4b7c7b51-9f61-4a5b-b869-383eacdb2115 · outbound

This paper cites Hitt, Invariant subspaces of H 2 of an annulus, Paciﬁc J.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Hitt, Invariant subspaces of H 2 of an annulus, Paciﬁc J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.068797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6c423ebf-a5a3-4d7b-a0d1-6a1408cbdbc2 · outbound

This paper cites Hoﬀman, Spans and intersections of essentially reducing su bspaces, Proc.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Hoﬀman, Spans and intersections of essentially reducing su bspaces, Proc

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.046445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e156ec2b-2201-43b1-8ab2-d6abd7e59180 · outbound

This paper cites Lax, Shift invariant spaces.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Lax, Shift invariant spaces

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.027569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f8237f92-93c4-48bb-9c3c-8bba0d8b420a · outbound

This paper cites Luo and S.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Luo and S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:31.006149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 44d7354a-edbc-46b4-b5fc-aecf1a8ccae2 · outbound

This paper cites O’Loughlin, Nearly invariant subspaces with applications to tru ncated Toeplitz operators, Com- plex Analysis and Operator Theory 14 (2020), no.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators O’Loughlin, Nearly invariant subspaces with applications to tru ncated Toeplitz operators, Com- plex Analysis and Operator Theory 14 (2020), no

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.984495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation aebf4948-7429-4b56-8152-65ba91e5e1f5 · outbound

This paper cites Peller, Hankel Operators and Their Applications , Springer-Verlag, 2003.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Peller, Hankel Operators and Their Applications , Springer-Verlag, 2003

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.959865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0fb4f380-8d65-418f-9303-225f9eef9fc3 · outbound

This paper cites Popov and A.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Popov and A

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.936652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 16defae1-f83e-41c3-bbbb-6818e768633f · outbound

This paper cites Sarason, Nearly invariant subspaces of the backward shift , in Contributions to Operator Theory and its Applications (Mesa, AZ, 1987) , 481-493, Oper.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Sarason, Nearly invariant subspaces of the backward shift , in Contributions to Operator Theory and its Applications (Mesa, AZ, 1987) , 481-493, Oper

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.917421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e6cdbf4e-56ab-4b4b-99ba-8f88099b2498 · outbound

This paper cites Sarason, Kernels of Toeplitz operators, in Toeplitz operators and related topics (Santa Cruz, CA, 1992), Oper.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Sarason, Kernels of Toeplitz operators, in Toeplitz operators and related topics (Santa Cruz, CA, 1992), Oper

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.895568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a5e2fc37-aa4b-49f0-a689-997668f393e5 · outbound

This paper cites Sirotkin and B.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Sirotkin and B

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.870168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation da664378-0b41-449b-95ff-130faa13ffa7 · outbound

This paper cites Sirotkin and B.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Sirotkin and B

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.846167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 64c7d459-4f9e-432c-b886-0abb381ffda7 · outbound

This paper cites Sz.-Nagy, C.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Sz.-Nagy, C

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.822784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b2d8f0c2-2349-4b90-a347-49b71df084d8 · outbound

This paper cites Tcaciuc, The invariant subspace problem for rank one pertu rbations, Duke Math.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Tcaciuc, The invariant subspace problem for rank one pertu rbations, Duke Math

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.802648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e2c9652c-90b0-4289-9153-cbb84137cea1 · outbound

This paper cites Timotin, The invariant subspaces of S ⊕ S∗ , Concrete.

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators Timotin, The invariant subspaces of S ⊕ S∗ , Concrete

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.778137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.