КФУ. Карточка публикации. Inductive and projective limits of Banach spaces of measurable functions with order unities with respect to power parameter

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INDUCTIVE AND PROJECTIVE LIMITS OF BANACH SPACES OF MEASURABLE FUNCTIONS WITH ORDER UNITIES WITH RESPECT TO POWER PARAMETER

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2016

Язык

английский

Авторы, сотрудники КФУ

Новиков Андрей Андреевич, автор

Библиографическое описание на языке оригинала

Novikov A.A, Eskandarian Z., Inductive and projective limits of Banach spaces of measurable functions with order unities with respect to power parameter//Russian Mathematics. - 2016. - Vol.60, Is.10. - P.67-71.

Аннотация

We prove that a measurable function f is bounded and invertible if and only if there exist at least two equivalent norms by order unit spaces with order unities fα and fβ with α > β > 0. We show that it is natural to understand the limit of ordered vector spaces with order unities fα (α approaches to infinity) as a direct sum of one inductive and one projective limits. We also obtain some properties for the corresponding limit topologies.

Ключевые слова

inductive limit, projective limit, initial topology, final topology, order unit space, measurable functions, Banach space, Fréchet space, locally convex space

Название журнала

Russian Mathematics

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84988884463&partnerID=40&md5=8150a6bf326494a5ee084432b5217449

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https://repository.kpfu.ru/?p_id=148082

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Новиков Андрей Андреевич	ru_RU
dc.date.accessioned	2016-01-01T00:00:00Z	ru_RU
dc.date.available	2016-01-01T00:00:00Z	ru_RU
dc.date.issued	2016	ru_RU
dc.identifier.citation	Novikov A.A, Eskandarian Z., Inductive and projective limits of Banach spaces of measurable functions with order unities with respect to power parameter//Russian Mathematics. - 2016. - Vol.60, Is.10. - P.67-71.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=148082	ru_RU
dc.description.abstract	Russian Mathematics	ru_RU
dc.description.abstract	We prove that a measurable function f is bounded and invertible if and only if there exist at least two equivalent norms by order unit spaces with order unities fα and fβ with α > β > 0. We show that it is natural to understand the limit of ordered vector spaces with order unities fα (α approaches to infinity) as a direct sum of one inductive and one projective limits. We also obtain some properties for the corresponding limit topologies.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	inductive limit	ru_RU
dc.subject	projective limit	ru_RU
dc.subject	initial topology	ru_RU
dc.subject	final topology	ru_RU
dc.subject	order unit space	ru_RU
dc.subject	measurable functions	ru_RU
dc.subject	Banach space	ru_RU
dc.subject	Fréchet space	ru_RU
dc.subject	locally convex space	ru_RU
dc.title	Inductive and projective limits of Banach spaces of measurable functions with order unities with respect to power parameter	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU