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2007 The Atkinson Theorem in Hilbert C * -Modules over C * -Algebras of Compact Operators
A. Niknam, K. Sharifi
Abstr. Appl. Anal. 2007: 1-7 (2007). DOI: 10.1155/2007/53060

Abstract

The concept of unbounded Fredholm operators on Hilbert C * -modules over an arbitrary C * -algebra is discussed and the Atkinson theorem is generalized for bounded and unbounded Feredholm operators on Hilbert C * -modules over C * -algebras of compact operators. In the framework of Hilbert C * -modules over C * -algebras of compact operators, the index of an unbounded Fredholm operator and the index of its bounded transform are the same.

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A. Niknam. K. Sharifi. "The Atkinson Theorem in Hilbert C * -Modules over C * -Algebras of Compact Operators." Abstr. Appl. Anal. 2007 1 - 7, 2007. https://doi.org/10.1155/2007/53060

Information

Published: 2007
First available in Project Euclid: 27 February 2008

zbMATH: 1155.46026
MathSciNet: MR2375449
Digital Object Identifier: 10.1155/2007/53060

Rights: Copyright © 2007 Hindawi

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