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Semi-Fredholm theory on Hilbert \(C^*\)-modules (Q2329257)

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Semi-Fredholm theory on Hilbert \(C^*\)-modules
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    Semi-Fredholm theory on Hilbert \(C^*\)-modules (English)
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    17 October 2019
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    The paper develops the theory of semi-Fredholm adjointable operators on Hilbert \(C^*\)-modules. In particular, it is proved that semi-Fredholm operators are one-side invertible modulo the ideal of `compact' operators, that the set of proper semi-Fredholm operators is open, and some other generalizations of the classical properties of semi-Fredholm operators on Hilbert spaces.
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    Hilbert \(C^*\)-module
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    semi-A-Fredholm operator
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    Calkin algebra
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