An inequality for Schatten p-norms of compact operators

Tynysbek Sh Kalmenov, Durvudkhan Suragan, Bolys Sabitbek

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

We prove an abstract inequality for Schatten p-norm of compact operators. Our result gives a necessary condition for B. Simon's conjecture on Schatten p-norm domination of integral operators in terms of completely monotonic functions. Some related explicit examples are also provided.

Original languageEnglish
Title of host publicationInternational Conference on Analysis and Applied Mathematics, ICAAM 2016
EditorsAlexey Lukashov, Alexey Lukashov, Allaberen Ashyralyev
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735414174
DOIs
Publication statusPublished - Aug 10 2016
Externally publishedYes
Event3rd International Conference on Analysis and Applied Mathematics, ICAAM 2016 - Almaty, Kazakhstan
Duration: Sept 7 2016Sept 10 2016

Publication series

NameAIP Conference Proceedings
Volume1759
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference3rd International Conference on Analysis and Applied Mathematics, ICAAM 2016
Country/TerritoryKazakhstan
CityAlmaty
Period9/7/169/10/16

Keywords

  • Schatten classes
  • Simons conjecture
  • Singular values

ASJC Scopus subject areas

  • General Physics and Astronomy

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