KFU. Card publication. Inequalities for determinants and characterization of the trace

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

INEQUALITIES FOR DETERMINANTS AND CHARACTERIZATION OF THE TRACE

Form of presentation

Articles in international journals and collections

Year of publication

2020

Язык

армянский

Authors, employees of KFU

Bikchentaev Ayrat Midkhatovich, author

Bibliographic description in the original language

Bikchentaev A.M. Inequalities for determinants and characterization of the trace // Siberian Math. J., 2020, v. 61, no. 2, 248--254.

Annotation

Let tr be the canonical trace on the full matrix algebra $M_n$ with unit $I$. We prove that if some analog of classical inequalities for the determinant and trace (or the permanent and trace) of matrices holds for a positive functional $f$ on $M_n$ with $f(I)=n$, then $f$=tr. Also, we generalize Fischer's inequality for determinants and estaplish a new inequality for the trace of the matrix exponential.

Keywords

linear functional, matrix, trace, determinant, permanent, matrix exponential, Fischer's inequality

The name of the journal

SIBERIAN MATHEMATICAL JOURNAL

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

https://repository.kpfu.ru/eng/?p_id=226178&p_lang=2

Resource files

File name	Size (MB)	Format
simj0248.pdf	0,15	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Bikchentaev Ayrat Midkhatovich	ru_RU
dc.date.accessioned	2020-01-01T00:00:00Z	ru_RU
dc.date.available	2020-01-01T00:00:00Z	ru_RU
dc.date.issued	2020	ru_RU
dc.identifier.citation	Bikchentaev A.M. Inequalities for determinants and characterization of the trace // Siberian Math. J., 2020, v. 61, no. 2, 248--254.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=226178&p_lang=2	ru_RU
dc.description.abstract	SIBERIAN MATHEMATICAL JOURNAL	ru_RU
dc.description.abstract	Let tr be the canonical trace on the full matrix algebra $M_n$ with unit $I$. We prove that if some analog of classical inequalities for the determinant and trace (or the permanent and trace) of matrices holds for a positive functional $f$ on $M_n$ with $f(I)=n$, then $f$=tr. Also, we generalize Fischer's inequality for determinants and estaplish a new inequality for the trace of the matrix exponential.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	linear functional	ru_RU
dc.subject	matrix	ru_RU
dc.subject	trace	ru_RU
dc.subject	determinant	ru_RU
dc.subject	permanent	ru_RU
dc.subject	matrix exponential	ru_RU
dc.subject	Fischer's inequality	ru_RU
dc.title	Inequalities for determinants and characterization of the trace	ru_RU
dc.type	Articles in international journals and collections	ru_RU