Invariant subspaces of finite codimension in Banach spaces of analytic functions

We give a characterization of invariant subspaces of finite codimension in Banach spaces of vector-valued analytic functions in several variables, where invariant refers to invariance under multiplication by any polynomial. We obtain very weak conditions under which our characterization applies, tha...

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 373; no. 1; pp. 1 - 12
Main Author:	Carlsson, Marcus
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 2011 Elsevier
Subjects:	Analytic Hilbert modules Bergman space Exact sciences and technology Functional analysis Global analysis, analysis on manifolds Invariant subspaces Mathematical analysis Mathematics Operator theory Sciences and techniques of general use Several complex variables and analytic spaces Several variables Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Vector-valued analytic functions Bergman space Invariant subspaces Several variables Vector-valued analytic functions Analytic Hilbert modules Polynomial Invariant Multiplication Invariant subspace Invariance Banach space Vector space Mathematical analysis Analytic space Analytical function
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
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