The Euler characteristic is stable under compact perturbations

Author:

Ambrozie Calin-Grigore

Abstract

We prove in the general case the stability under compact perturbations of the index (i.e. the Euler characteristic) of a Fredholm complex of Banach spaces. In particular, we obtain the corresponding stability property for Fredholm multioperators. These results are the consequence of a similar statement, concerning more general objects called Fredholm pairs.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference16 articles.

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4. C.-G. Ambrozie, On Fredholm index in Banach spaces, preprint IMAR 6/’91.

5. C.-G. Ambrozie, The solution of a problem on Fredholm complexes, preprint IMAR 30/’94.

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Taylor Functional Calculus;Operator Theory;2015

2. Taylor Functional Calculus;Operator Theory;2014

3. On the index of Fredholm pairs of idempotents;Acta Mathematica Sinica, English Series;2009-03-25

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