The Atkinson Theorem in Hilbert C*‐Modules over C*‐Algebras of Compact Operators

A. Niknam and K. Sharifi

Abstract and Applied Analysis, 2007, vol. 2007, issue 1

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.

Date: 2007
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https://doi.org/10.1155/2007/53060

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2007:y:2007:i:1:n:053060

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