КФУ. Карточка публикации. Differences and Commutators of Projections on a Hilbert Space

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DIFFERENCES AND COMMUTATORS OF PROJECTIONS ON A HILBERT SPACE

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2022

Язык

английский

Авторы, сотрудники КФУ

Бикчентаев Айрат Мидхатович, автор

Библиографическое описание на языке оригинала

A. Bikchentaev, Differences and Commutators of Projections on a Hilbert Space // International Journal of Theoretical Physics, 2022, - V. 61, no 1. Article 2. - 10 pp. https://doi.org/10.1007/s10773-022-04973-7

Аннотация

We establish some new properties of pairs of idempotents and pairs of projections on a Hilbert space. The functional dependences of some operators associated with a pair of projections are found. Particular attention is paid to pairs of isoclinic projections. Such projections play an important role in non-commutative measure theory. Several relationships were obtained for the determinants. We also present an operator relation characterizing the non-trivial invariant subspace of such an operator.

Ключевые слова

Hilbert space, Idempotent, Projection, Commutator, C*-algebra, Trace

Название журнала

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

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Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Бикчентаев Айрат Мидхатович	ru_RU
dc.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	A. Bikchentaev, Differences and Commutators of Projections on a Hilbert Space // International Journal of Theoretical Physics, 2022, - V. 61, no 1. Article 2. - 10 pp. https://doi.org/10.1007/s10773-022-04973-7	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=262600	ru_RU
dc.description.abstract	INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS	ru_RU
dc.description.abstract	We establish some new properties of pairs of idempotents and pairs of projections on a Hilbert space. The functional dependences of some operators associated with a pair of projections are found. Particular attention is paid to pairs of isoclinic projections. Such projections play an important role in non-commutative measure theory. Several relationships were obtained for the determinants. We also present an operator relation characterizing the non-trivial invariant subspace of such an operator.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Hilbert space	ru_RU
dc.subject	Idempotent	ru_RU
dc.subject	Projection	ru_RU
dc.subject	Commutator	ru_RU
dc.subject	C*-algebra	ru_RU
dc.subject	Trace	ru_RU
dc.title	Differences and Commutators of Projections on a Hilbert Space	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU