There are no codimension 1 linear isometries on the ball and polydisk algebras (Q2758101)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: There are no codimension 1 linear isometries on the ball and polydisk algebras |
scientific article; zbMATH DE number 1679389
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | There are no codimension 1 linear isometries on the ball and polydisk algebras |
scientific article; zbMATH DE number 1679389 |
Statements
10 October 2002
0 references
no codimension 1 linear isometries
0 references
unit ball
0 references
unit polydiscs
0 references
There are no codimension 1 linear isometries on the ball and polydisk algebras (English)
0 references
Let \(B_n\) be the open unit ball in \(\mathbb{C}^n\) and \(S_n\) be the boundary. Let \(A(S_n)\) be the space of all complex valued continuous functions on \(S\) which can be extended holomorphically to \(B_n\).NEWLINENEWLINENEWLINEThe main result of this paper is to show that \(A(S_n)\) does not admit codimension 1 linear isometries for all \(n>1\). Also similar results will hold for unit polydiscs.
0 references
