Treffer: Invariant subspaces of finite codimension in Banach spaces of analytic functions
Title:
Invariant subspaces of finite codimension in Banach spaces of analytic functions
Authors:
Source:
Journal of mathematical analysis and applications. 373(1):1-12
Publisher Information:
Amsterdam: Elsevier, 2011.
Publication Year:
2011
Physical Description:
print, 35 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Analyse fonctionnelle, Functional analysis, Théorie des opérateurs, Operator theory, Topologie. Variétés et complexes cellulaires. Analyse globale et analyse sur variétés, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Analyse globale, analyse sur des variétés, Global analysis, analysis on manifolds, Analyse mathématique, Mathematical analysis, Análisis matemático, Espace Banach, Banach space, Espacio Banach, Espace analytique, Analytic space, Espacio analítico, Espace vectoriel, Vector space, Espacio vectorial, Fonction analytique, Analytical function, Función analítica, Invariance, Invarianza, Invariant, Invariante, Multiplication, Multiplicación, Polynôme, Polynomial, Polinomio, Sous espace invariant, Invariant subspace, Subespacio invariante, 30H05, 32A36, 32XX, 46Bxx, 47A15, 58J70, Domaine convexe, Espace Bergman, Fonction vectorielle, Analytic Hilbert modules, Bergman space, Invariant subspaces, Several variables, Vector-valued analytic functions
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Purdue University, 150 N. University St., W. Lafayette. IN 47907, United States
ISSN:
0022-247X
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.23752692
Database:
PASCAL Archive
Weitere Informationen
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, that unifies and improves a number of previous results. In the vector-valued case, the results are new even for one complex variable. As a concrete application in several variables, we consider the Bergman space on a strictly pseudo-convex domain, and we improve previous results (assuming C∞-boundary) to the case of C2-boundary. .