Models of function type for commutative symmetric operator families in Krein spaces.

Strauss, Vladimir

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Displaying similar documents to “Models of function type for commutative symmetric operator families in Krein spaces.”

Spectral properties of a certain class of Carleman operators

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The object of the present work is to construct all the generalized spectral functions of a certain class of Carleman operators in the Hilbert space $L^{2} (X, μ)$ and establish the corresponding expansion theorems, when the deficiency indices are (1,1). This is done by constructing the generalized resolvents of $A$ and then using the Stieltjes inversion formula.

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This paper gives a survey of some recent developments in the spectral theory of linear operators on Banach spaces in which the Hilbert transform and its abstract analogues play a fundamental role.

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