| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2020 |
| Язык | армянский |
|
Бикчентаев Айрат Мидхатович, автор
|
| Библиографическое описание на языке оригинала |
Bikchentaev A.M. Inequalities for determinants and characterization
of the trace // Siberian Math. J., 2020, v. 61, no. 2, 248--254. |
| Аннотация |
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. |
| Ключевые слова |
linear functional, matrix, trace, determinant, permanent, matrix exponential, Fischer's inequality |
| Название журнала |
SIBERIAN MATHEMATICAL JOURNAL
|
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=226178 |
| Файлы ресурса | |
|
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Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Бикчентаев Айрат Мидхатович |
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/?p_id=226178 |
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 |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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