KFU. Card publication. Characterizations of the canonical trace on full matrix algebras

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CHARACTERIZATIONS OF THE CANONICAL TRACE ON FULL MATRIX ALGEBRAS

Form of presentation

Articles in international journals and collections

Year of publication

2025

Язык

английский

Authors, employees of KFU

Bikchentaev Ayrat Midkhatovich, author

Other authors

Moslehian Mohammad Sal , author

Bibliographic description in the original language

Mohammad Sal Moslehian, Bikchentaev Airat M. Characterizations of the canonical trace on full matrix algebras // Journal of Mathematical Analysis and Applications. — 2025. — Volume 552. — Issue 2.

Annotation

We establish that a positive linear functional f on the full matrix algebra is a positive multiple of the canonical trace if and only if f(|A|)=f(A) implies that A is positive semidefinite. Furthermore, we characterize the canonical trace on Mn among all positive linear functionals φ on Mn with via Yang's inequality (1988). for positive semidefinite matrices.

Keywords

Yang's inequality, positive semidefinite, trace characterization

The name of the journal

J MATH ANAL APPL

On-line resource for training course

http://dspace.kpfu.ru/xmlui/bitstream/handle/net/185281/F_1_s2.0_S0022247X25005451_main.pdf?sequence=1&isAllowed=y

URL

https://www.sciencedirect.com/science/article/pii/S0022247X25005451?via%3Dihub

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=314638&p_lang=2

Resource files

File name	Size (MB)	Format
F_1_s2.0_S0022247X25005451_main.pdf	0,34	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Bikchentaev Ayrat Midkhatovich	ru_RU
dc.contributor.author	Moslehian Mohammad Sal	ru_RU
dc.date.accessioned	2025-01-01T00:00:00Z	ru_RU
dc.date.available	2025-01-01T00:00:00Z	ru_RU
dc.date.issued	2025	ru_RU
dc.identifier.citation	Mohammad Sal Moslehian, Bikchentaev Airat M. Characterizations of the canonical trace on full matrix algebras // Journal of Mathematical Analysis and Applications. — 2025. — Volume 552. — Issue 2.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=314638&p_lang=2	ru_RU
dc.description.abstract	J MATH ANAL APPL	ru_RU
dc.description.abstract	We establish that a positive linear functional f on the full matrix algebra is a positive multiple of the canonical trace if and only if f(\|A\|)=f(A) implies that A is positive semidefinite. Furthermore, we characterize the canonical trace on Mn among all positive linear functionals φ on Mn with via Yang's inequality (1988). for positive semidefinite matrices.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Yang's inequality	ru_RU
dc.subject	positive semidefinite	ru_RU
dc.subject	trace characterization	ru_RU
dc.title	Characterizations of the canonical trace on full matrix algebras	ru_RU
dc.type	Articles in international journals and collections	ru_RU