dc.contributor.author |
Batikyan B. |
|
dc.contributor.author |
Grigoryan S. |
|
dc.date.accessioned |
2018-09-17T20:03:44Z |
|
dc.date.available |
2018-09-17T20:03:44Z |
|
dc.date.issued |
2002 |
|
dc.identifier.issn |
0001-4346 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/132976 |
|
dc.description.abstract |
An algebraic extension of the algebra A(E), where E is a compactum in ℂ with nonempty connected interior, leads to a Banach algebra B of functions that are holomorphic on some analytic set K° ⊂ ℂ 2 with boundary bK and continuous up to bK. The singular points of the spectrum of B and their defects are investigated. For the case in which B is a uniform algebra, the depth of B in the algebra C(bK) is estimated. In particular, conditions under which B is maximal on bK are obtained. |
|
dc.relation.ispartofseries |
Mathematical Notes |
|
dc.subject |
Banach algebra |
|
dc.subject |
Extension of a Banach algebra |
|
dc.subject |
Maximal algebra |
|
dc.subject |
Ramified holomorphic covering |
|
dc.subject |
Sheaf of germs of continuous functions |
|
dc.subject |
Uniform algebra |
|
dc.subject |
Unitary polynomial |
|
dc.title |
On an algebraic extension of A(E) |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
5-6 |
|
dc.relation.ispartofseries-volume |
72 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
600 |
|
dc.source.id |
SCOPUS00014346-2002-72-56-SID0141625271 |
|