Paper Citation Record · LEDGER

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces

As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:1908.01838.

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

pith.paper-citation-record.v1
1908.01838 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:14:39.842024Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

23 of 23 outbound references displayed

verified exact0
verified fuzzy22
unresolved0
parse uncertain1
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d04ec606-fc78-49ba-8c31-624fa8d2e1a6 · outbound

This paper cites Agethen, K.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Agethen, K

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:40.330024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation da62a656-9cee-4906-b12a-9455ac8ce279 · outbound

This paper cites Aytuna, J.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Aytuna, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:40.310407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3324b54f-1207-491d-81e8-1867867a67bb · outbound

This paper cites Aytuna, J.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Aytuna, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:40.293208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ed3c2883-1147-4334-be55-26d9899b3553 · outbound

This paper cites Aytuna, J.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Aytuna, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:40.274605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7b5c0e3c-4d66-4fd7-b39e-ffed5ad3a2fa · outbound

This paper cites Aytuna, Tameness in Fr´ echet spaces of analytic functions, Studia Math., 232 (2016), 243-266.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Aytuna, Tameness in Fr´ echet spaces of analytic functions, Studia Math., 232 (2016), 243-266

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:40.255536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d49c7e1f-1b95-4d74-ac48-40cac3163e85 · outbound

This paper cites Bessaga, Some remarks on Dragilev’s theorem , Studia Math.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Bessaga, Some remarks on Dragilev’s theorem , Studia Math

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:40.236482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation df910799-95fe-44bc-ba79-2e7a5fa0c7db · outbound

This paper cites Bessaga, A.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Bessaga, A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:40.216504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 93a80976-9728-48e9-904d-744864f692f3 · outbound

This paper cites Demeulenaere, L.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Demeulenaere, L

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:40.198580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3a0f5990-a3e1-49cc-8e71-3fe19701a77b · outbound

This paper cites Djakov, T.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Djakov, T

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:40.179525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8f2bcdb3-fd63-4d12-ab76-e032af097ddb · outbound

This paper cites Dubinsky, The structure of nuclear Fr´ echet spaces, LNM, Springer, 720, (1979).

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Dubinsky, The structure of nuclear Fr´ echet spaces, LNM, Springer, 720, (1979)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:40.161143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d7ed6d26-f08e-4461-bb77-c6c5cc21eb62 · outbound

This paper cites Husain, The Open Mapping and Closed Graph Theorems in Topological Vector Spaces , Springer-Verlag, (1965).

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Husain, The Open Mapping and Closed Graph Theorems in Topological Vector Spaces , Springer-Verlag, (1965)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:40.141191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3694751a-a70f-40b2-a0f9-86e942a3bade · outbound

This paper cites Kolmogorov, On the linear dimension of topological vector spaces, Dokl.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Kolmogorov, On the linear dimension of topological vector spaces, Dokl

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:40.120725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 12e250a9-95d1-48bb-b6ac-52571319e590 · outbound

This paper cites K¨ othe,Topological Vector Spaces I.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces K¨ othe,Topological Vector Spaces I

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:40.097346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ea02f117-02eb-4d5d-b13a-5b90e92c92e6 · outbound

This paper cites Meise and D.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Meise and D

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:40.078594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4fee37f8-7bd1-47ce-93d3-0b0953e38352 · outbound

This paper cites Mityagin, Geometry of nuclear spaces.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Mityagin, Geometry of nuclear spaces

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:40.059845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d1401162-6da3-4b7f-a9c2-5fd7d228f006 · outbound

This paper cites Mityagin, Approximative dimension and bases in nuclear spaces.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Mityagin, Approximative dimension and bases in nuclear spaces

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:40.038991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a18ff493-6e2e-4dfa-b619-7b0fb7a7dd16 · outbound

This paper cites Pelczynski, On the approximation of S-spaces by ﬁnite-dimensional spaces , Bull.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Pelczynski, On the approximation of S-spaces by ﬁnite-dimensional spaces , Bull

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:40.016104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a441d63b-72cf-43dc-af26-47816e9d9279 · outbound

This paper cites 9 (1957), 879-881.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces 9 (1957), 879-881

Reference 18

Resolution: parse uncertain; raw_fallback, observed 2026-08-14T15:14:39.996249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 753c56c6-919b-4c4a-a7e4-221d50566805 · outbound

This paper cites Pietsch, Nuclear Locally Convex Spaces, Ergebnisse der Math.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Pietsch, Nuclear Locally Convex Spaces, Ergebnisse der Math

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:39.977545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 69c2b126-0e2a-4471-9d69-e367c4d52725 · outbound

This paper cites Rolewicz, Metric linear spaces 2nd ed., Mathematics and its Applications (East European Series), vol.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Rolewicz, Metric linear spaces 2nd ed., Mathematics and its Applications (East European Series), vol

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:39.959456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e598bf07-2b49-4e38-99be-950cd0cd6957 · outbound

This paper cites Terzio˘ glu,Die diametrale Dimension von lokalkonvexen R¨ aumen, Collect.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Terzio˘ glu,Die diametrale Dimension von lokalkonvexen R¨ aumen, Collect

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:39.940997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8dfddfc5-e8a9-4587-8d7e-b4a09d1390a0 · outbound

This paper cites Terzio˘ glu, Some invariants of Fr´ echet spaces and imbeddings of smooth sequence spaces , T.Terzio˘ glu (ed.), Advances in the theory of Fr´ echet spaces, 305-324 (1989).

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Terzio˘ glu, Some invariants of Fr´ echet spaces and imbeddings of smooth sequence spaces , T.Terzio˘ glu (ed.), Advances in the theory of Fr´ echet spaces, 305-324 (1989)

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:39.922124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a554a63c-c32d-4e71-ad37-a4c269e8d849 · outbound

This paper cites Terzio˘ glu,Quasinormability and diametral dimension, Turkish J.

Some Remarks on Diametral Dimension and Approximate Diametral Dimension of Certain Nuclear Fr\'echet Spaces Terzio˘ glu,Quasinormability and diametral dimension, Turkish J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:14:39.900393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

No inbound Pith citation observations are available.