MULTIPLICATION OPERATORS ON INVARIANT SUBSPACES OF FUNCTION SPACES

被引：0

作者：

Yousefi, B. ^{[1
]}

Khoshdel, Sh ^{[1
]}

Jahanshahi, Y. ^{[1
]}

机构：

[1] Payame Noor Univ, Dept Math, Tehran, Iran

来源：

ACTA MATHEMATICA SCIENTIA | 2013年 / 33卷 / 05期

关键词：

invariant subspace; Hilbert space of analytic functions; essential spectrum; essential norm; Fredholm operator; multiplication operator; UNIVERSAL INTERPOLATING-SEQUENCES; BANACH-SPACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M-phi be the operator of multiplication by phi on a Hilbert space of functions analytic on the open unit disk. For an invariant subspace F for the multiplication operator M-z, we derive some spectral properties of the multiplication operator M-phi : F -> F. We characterize norm, spectrum, essential norm and essential spectrum of such operators when F has the codimension n property with n is an element of {1, 2, ... , +infinity}.

引用

页码：1463 / 1470

页数：8

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