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

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  • A. Niknam
  • K. Sharifi

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.

Suggested Citation

  • A. Niknam & K. Sharifi, 2007. "The Atkinson Theorem in Hilbert C * -Modules over C * -Algebras of Compact Operators," Abstract and Applied Analysis, Hindawi, vol. 2007, pages 1-7, January.
    • Handle: RePEc:hin:jnlaaa:053060
    DOI: 10.1155/2007/53060
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