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

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

2006-11-29

arxiv.org/abs/math/0611916v3

Mathematics

Operator Algebras

8 pages, the proof of the Theorem 2.3 was omitted, to appear in Abstract and Applied Analysis

Scientific paper

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.

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