Blaschke C* -algebras

dc.contributor.author	Grigoryan T.A.
dc.contributor.author	Kuznetsova A.Y.
dc.date.accessioned	2021-02-25T20:51:44Z
dc.date.available	2021-02-25T20:51:44Z
dc.date.issued	2020
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/162544
dc.description.abstract	© 2020, PleiadesT Publishing,T Ltd. Abstract: In the paper we introduce the notion of the Blaschke C-algebra and we consider the isometric representations of uniform Blaschke algebra. We extend the Coburn’s Theorem for a family of non-unitary isometries connected by a family of finite Blaschke products. We show that the Blaschke C-algebra is isomorphic to the inductive limit of Toeplitz algebras, as well as the (non commutative) C*-algebra generated by a unital isometric representation of the uniform Blaschke algebra by multiplications in the respective Hardy space.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	Blaschke algebra
dc.subject	Blaschke product
dc.subject	inductive limit
dc.subject	Toeplitz algebra
dc.title	Blaschke C* -algebras
dc.type	Article
dc.relation.ispartofseries-issue	4
dc.relation.ispartofseries-volume	41
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	631
dc.source.id	SCOPUS19950802-2020-41-4-SID85088666029

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.