MULTIPLICATION OPERATORS ON INVARIANT SUBSPACES OF FUNCTION SPACES

被引：0

作者：

B.YOUSEFI ^{[1
]}

Sh.KHOSHDEL ^{[1
]}

Y.JAHANSHAHI ^{[1
]}

机构：

[1] Department of Mathematics, Payame Noor University

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;

D O I：

暂无

中图分类号：

O177.1 [希尔伯特空间及其线性算子理论];

学科分类号：

070104 ;

摘要：

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

引用

页码：1463 / 1470

页数：8

共 11 条

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