Uniform ascent and descent of bounded operators
Uniform ascent and descent of bounded operators
复制标题
DOI：
10.2969/jmsj/03420317
复制
发表时间：
1982-04
影响因子：
0.7
通讯作者：
Sandy Grabiner
中科院分区：
文献类型：
--
作者：
Sandy Grabiner
本文研究了Banach空间上某些类有界算子的结构和扰动理论。这些类包含半Fredholm运营商，也是最普遍的Fredholm运营商出现在文献中。对于有界算子T，我们主要研究了R（T^{n}）的值域序列和零空间序列N（T^{n}），以及T的小扰动或紧扰动的类似序列.我们对那些
In this paper we study the structure and perturbation theory of certain classes of bounded operators on a Banach space. These classes contain the semi-Fredholm operators, and also most of the generalizations of Fredholm operators which appear in the literature. For a bounded operator $T$ , our study focuses on the sequences of ranges, $\{R(T^{n})\}$ , and of null-spaces, $\{N(T^{n})\}$ , and on the analogous sequences for small or compact perturbations of $T$ . We are particularly interested in the spaces