The Fredholmness And Invertibility Of TT^?-T^?T

Posted on:2019-12-07

Degree:Master

Type:Thesis

Country:China

Candidate:N N Zheng

Full Text:PDF

GTID:2370330563956832

Subject:Mathematics

Abstract/Summary:

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Let T ? B?H?be an operator with closed range.We consider the Fredholmness and invertibility for TT^?-T^?T,respectively.By means of space decomposition,the skill of block operator matrix and the basic proprities of Fredholm operator,the equivalent conditions of the Fredholmness of TT^?-T^?T are given.Also,the equivalent conditions of invertibility of TT^?-T^?T are obtained in terms of the orthogonal projections and idempotent.

Keywords/Search Tags:

Fredholmness, invertibility, orthogonal projection, idempotent, co-EP operator

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The Fredholmness And Invertibility Of TT?-T?T

The Fredholmness And Invertibility Of TT^?-T^?T