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Boundary representations on co-invariant subspaces of Bergman space.
- Source :
-
Proceedings of the American Mathematical Society . Oct2009, Vol. 138 Issue 2, p615-622. 8p. - Publication Year :
- 2009
-
Abstract
- Let $M$ be an invariant subspace of the Bergman space $L_a^2(mathbb {D})$ and $S_M$ be the compression of the coordinate multiplication operator $M_z$ to the co-invariant subspace $L_a^2(mathbb {D})ominus M$. The present paper determines when the identity representation of $C^*(S_M)$ is a boundary representation for the Banach subalgebra $mathcal {B}(S_M)$. The paper also considers boundary representations on the co-invariant subspaces of $L_a^2(mathbb {B}_n)$. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 138
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 44864881
- Full Text :
- https://doi.org/10.1090/S0002-9939-09-10079-5