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arXiv:math/0611916 [math.OA]AbstractReferencesReviewsResources

The Atkinson Theorem in Hilbert C*-Modules Over C*-Algebras of Compact Operators

Assadollah Niknam, Kamran Sharifi

Published 2006-11-29, updated 2008-07-18Version 3

In this paper 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.

Comments: 8 pages, the proof of the Theorem 2.3 was omitted, to appear in Abstract and Applied Analysis
Categories: math.OA, math.FA
Subjects: 47A53, 46L05, 47L60
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