The Spectrum of Linear Operators on Quotient Indecomposable Banach Spaces

被引：0
作者：
苏维钢
机构：
[1] School of Mathematics and Computer Science Fujian Normal University Fuzhou
来源：
Northeastern Mathematical Journal | 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：
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
收藏
页码：233 / 240
页数：8
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