Paper Citation Record · LEDGER

Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices

As of 16 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:1908.04499.

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

pith.paper-citation-record.v1
1908.04499 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:52:38.147212Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:41:34.566045Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T10:41:34.702353Z

Reference resolution

15 of 15 outbound references displayed

verified exact1
verified fuzzy6
unresolved7
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 98cab285-23e7-4ed4-b139-e6645d8cfd69 · outbound

This paper cites Bounds of numerical radius of bounded linear operator using $t$-Aluthge transform.

Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices Bounds of numerical radius of bounded linear operator using $t$-Aluthge transform

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T13:52:38.074374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4f6c58d-877e-4f03-a13b-89e53f568785 · outbound

This paper cites Bernau and F.

Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices Bernau and F

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T13:52:38.080185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15e84c38-9bbf-4992-ad45-d90cfa880f16 · outbound

This paper cites Bhatia, Matrix Analysis, Springer, New York, 1997.

Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices Bhatia, Matrix Analysis, Springer, New York, 1997

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T13:52:38.085168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcaef67f-22f2-4d5a-bc05-0e908210f471 · outbound

This paper cites Bhunia, S.

Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices Bhunia, S

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T13:52:38.090337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50e387dd-6f49-489a-9489-7197d80a4154 · outbound

This paper cites Bhunia, S.

Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices Bhunia, S

Reference 5

Resolution: malformed identifier; doi_truncated, observed 2026-08-14T13:52:38.266729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8b3fea27-6157-47c2-aaf6-dc51c9889b64 · outbound

This paper cites Dragomir, Inequalities for the numerical radius of linear oper ators in Hilbert spaces, Springer, 2013.

Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices Dragomir, Inequalities for the numerical radius of linear oper ators in Hilbert spaces, Springer, 2013

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:52:38.428001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 296581f8-2d7d-4fb9-99d2-e9bcccff1546 · outbound

This paper cites Guelfen and F.

Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices Guelfen and F

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:52:38.410637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 777fb232-c115-4284-9980-164aa64197fd · outbound

This paper cites Gustafson and D.K.M.

Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices Gustafson and D.K.M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:52:38.393597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 94a41d36-241b-438d-8d88-2ec4b2be5880 · outbound

This paper cites Hirzallah, F.

Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices Hirzallah, F

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:52:38.376389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f3312dd4-f93b-4c9c-a011-066962b33a0c · outbound

This paper cites Kittaneh, M.S.

Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices Kittaneh, M.S

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-14T13:52:38.121835Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7a20a7c-37b9-40dc-85c9-664945ad14e6 · outbound

This paper cites Kittaneh, Numerical radius inequalities for Hilbert spaces ope rators, Studia Math.

Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices Kittaneh, Numerical radius inequalities for Hilbert spaces ope rators, Studia Math

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:52:38.348658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d6def7f1-9aa8-493c-ac1c-fa55ab6c7ec4 · outbound

This paper cites Paul and S.

Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices Paul and S

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-14T13:52:38.132207Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d0d7ddd-343f-439b-bb54-4d64bb7887f8 · outbound

This paper cites Paul and S.

Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices Paul and S

Reference 13

Resolution: verified exact; doi, observed 2026-08-14T13:52:38.185145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7a91656f-d277-4184-8c81-71a212cd1ea1 · outbound

This paper cites Shebrawi, Numerical radius inequalities for certain 2 ×2 operator matrices II, Linear Algebra Appl.

Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices Shebrawi, Numerical radius inequalities for certain 2 ×2 operator matrices II, Linear Algebra Appl

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T13:52:38.142582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2147b93a-368a-45b4-af18-b0d5ebebec46 · outbound

This paper cites Yamazaki, On upper and lower bounds of the numerical radius and an equality condition, Studia Math.

Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices Yamazaki, On upper and lower bounds of the numerical radius and an equality condition, Studia Math

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:52:38.306156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

Observation 2ee5f502-42a8-47f9-984e-3c74278ae34c · inbound

On inequalities for A-numerical radius of operators cites this paper.

On inequalities for A-numerical radius of operators Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:41:34.708285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.