SOME PROPERTIES OF INVARIANT SUBSPACES IN BANACH SPACES OF ANALYTIC FUNCTIONS

• Journal title : Honam Mathematical Journal
• Volume 29, Issue 4,  2007, pp.523-533
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2007.29.4.523
Title & Authors
SOME PROPERTIES OF INVARIANT SUBSPACES IN BANACH SPACES OF ANALYTIC FUNCTIONS
Hedayatian, K.; Robati, B. Khani;

Abstract
Let $\small{\cal{B}}$ be a reflexive Banach space of functions analytic on the open unit disc and M be an invariant subspace of the multiplication operator by the independent variable, $\small{M_z}$. Suppose that $\small{\varphi\;\in\;\cal{H}^{\infty}}$ and $\small{M_{\varphi}}$ : M $\small{{\rightarrow}}$ M, defined by \$M_{\varphi}f
Keywords
invariant subspaces;multiplication operators;reflexive Banach space of analytic functions;spectrum; bounded point evaluation;
Language
English
Cited by
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