CoChat
Sign Up
Cited by 84Mathematical Inequalities and ApplicationsMatrix Theory and AlgorithmsAnalytic and geometric function theory

Some operator inequalities of the Schwarz type

Open access
Lieb, Elliott H., Ruskai, Mary Beth·1974·Advances in Mathematics
DOI 10.1016/s0001-8708(74)80004-6
Open this paper in CoChat — free account

Integrity signals

Registry

Crossref · 10.1016/s0001-8708(74)80004-6

Cites

9 of 9 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

We couldn’t retrieve this paper’s full text, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • Niu and Griffiths's construction showed that taking the partial trace T1 instead of T2 is equivalent to swapping sin and cos in (17).

    “Moreover, Niu and Griffiths's construction showed that taking the partial trace T 1 rather than T 2 is equivalent to switching sin and cos in (17).”

    From An analysis of completely-positive trace-preserving maps on M2 (2002) · cites this paper as [18]

  • Niu and Griffiths obtained a similar parameterization in their work on two-bit copying devices.

    “A similar parameterization was obtained by Niu and Griffiths [18] in their work on two-bit copying devices.”

    From An analysis of completely-positive trace-preserving maps on M2 (2002) · cites this paper as [18]

Cites

Flagged first, then by citations

Cited by

Sorted by citations

Related

Authors
Lieb, E. H., & Ruskai, M. B.
Affiliations
University of Alberta (CA)
ORCID
Ruskai, Mary Beth
Venue
Advances in Mathematics
Publisher
Elsevier BV
Published
1974-02
Volume
12
Issue
2
Pages
269-273
ISSN
0001-8708 (ISSN-L)
DOI
10.1016/s0001-8708(74)80004-6
OpenAlex
W2016407363
Cited by
84
References
9
Citations by year
2024: 3 · 2023: 4 · 2022: 4 · 2019: 2 · 2018: 3 · 2017: 4 · 2016: 6 · 2015: 5 · 2014: 1 · 2013: 2 · 2012: 2
FWCI
2.51
Type
journal article
Language
en
Open access
Licence
Locations
Advances in Mathematics (publishedVersion)
Funders
  • National Research Council Canada (NRC-A6595)
  • National Science Foundation (GP-31674X)
Topics
  • Physical Sciences › Mathematics › Applied Mathematics › Mathematical Inequalities and Applications
  • Physical Sciences › Computer Science › Computational Theory and Mathematics › Matrix Theory and Algorithms
  • Physical Sciences › Mathematics › Geometry and Topology › Analytic and geometric function theory
Keywords
Cauchy-Schwarz inequality, operator inequalities

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review