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 |
|