Fredholm Properties of Unbounded Operators on Interpolation Spaces

被引：0

作者：

Guenther, Kerstin ^{[1
]}

机构：

[1] Tech Univ Berlin, D-10623 Berlin, Germany

来源：

RECENT ADVANCES IN OPERATOR THEORY IN HILBERT AND KREIN SPACES | 2010年 / 198卷

关键词：

Abstract Sobolev spaces; interpolation theory; induced operators; unbounded operators; Fredholm properties; continuous invertibility;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Fredholm properties and properties on the continuous invertibility of unbounded operators S-0, S-1, S-Delta and S-Sigma, which are connected to a linear operator between compatible couples. If S-0 and S-1 are everywhere defined and bounded, then we obtain the operators usually considered in the classical interpolation theory. As an example, we study differential operators on different L-P-spaces induced by the same differential expression.

引用

页码：185 / 210

页数：26

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