The Spectrum of Linear Operators on Quotient Indecomposable Banach Spaces

被引：0

作者：

苏维钢

机构：

[1] SchoolofMathematicsandComputerScienceFujianNormalUniversity,Fuzhou,

来源：

NortheasternMathematicalJournal | 2006年 / 02期

关键词：

Banach space; quotient indecomposable; spectrum; generator;

D O I：

10.13447/j.1674-5647.2006.02.016

中图分类号：

O177.2 [巴拿赫空间及其线性算子理论];

学科分类号：

070104 ;

摘要：

<正>This paper discusses the special properties of the spectrum of linear operators (in particular, bounded linear operators) on quotient indecomposable Banach spaces; shows that in such spaces generators of Co-groups are always bounded linear operators, and that generators of Co-semigroups satisfy the spectral mapping theorem; and gives an example to show that the generators of Co-semigroups in quotient indecomposable spaces are not necessarily bounded.

引用

页码：233 / 240

页数：8

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