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On Fredholm Operators Between Non-archimedean Fréchet Spaces

Published online by Cambridge University Press:  04 December 2007

W. Śliwa
W. Śliwa
Affiliation:
Faculty of Mathematics and Computer Science, A. Mickiewicz University, ul. Umultowska 87, 61-614 Poznań, Poland. e-mail: [email protected]
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Abstract

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It is proved that the index of a Fredholm operator between non-Archimedean Fréchet spaces is preserved under compact perturbations. A similar result is shown for Fredholm operators between non-Archimedean polar regular LF-spaces.

Keywords

compact perturbations of Fredholm operatorsindex of Fredholm operator
Type
Research Article
Information
Compositio Mathematica , Volume 139 , Issue 1 , October 2003 , pp. 113 - 118
Copyright
© 2003 Kluwer Academic Publishers