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On Weyl function and generalized resolvents of \(J\)-Hermitian operators (Q2732136)

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scientific article; zbMATH DE number 1623251
Language Label Description Also known as
English
On Weyl function and generalized resolvents of \(J\)-Hermitian operators
scientific article; zbMATH DE number 1623251

    Statements

    24 July 2001
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    Krein spaces
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    \(J\)-Hermitian operators
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    Weil functions
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    addition theorem
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    operator reconstruction
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    generalized resolvents
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    abstract boundary value problems
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    On Weyl function and generalized resolvents of \(J\)-Hermitian operators (English)
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    For some class of \(J\)-Hermitian operators and their Weil functions the addition theorem is proved. For some classes of operator-functions the problem of the operator reconstruction from its Weil function is solved. Some connection between generalized resolvents, Weil functions and abstract boundary value problems with spectral parameter in the boundary condition are obtained.
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    Identifiers