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}.
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页码：1463 / 1470
页数：8
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