The Atkinson Theorem in Hilbert C*-Modules Over C*-Algebras of Compact Operators
arXiv:math/0611916 · doi:10.1155/2007/53060
Abstract
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.
8 pages, the proof of the Theorem 2.3 was omitted, to appear in Abstract and Applied Analysis