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Approximation by semi-Fredholm operators with fixed nullity - MaRDI portal

Approximation by semi-Fredholm operators with fixed nullity (Q803502)

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scientific article; zbMATH DE number 4200971
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Approximation by semi-Fredholm operators with fixed nullity
scientific article; zbMATH DE number 4200971

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    Approximation by semi-Fredholm operators with fixed nullity (English)
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    1990
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    The author determines the distance from a bounded linear operator on a Hilbert space to semi-Fredholm operators with fixed nullity. As a consequence of his results he obtains the somewhat surprising fact that the closure of the union of the right semi-Fredholm operators and the left semi-Fredholm operators equals the algebra of all continuous endomorphisms.
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    distance from a bounded linear operator on a Hilbert space to semi- Fredholm operators with fixed nullity
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    the closure of the union of the right semi-Fredholm operators and the left semi-Fredholm operators equals the algebra of all continuous endomorphisms
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