Uniqueness theorems for operator-valued functions with positive imaginary part, and the singular spectrum in the selfadjoint Friedrichs model

Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (13)

Zygmund's theorem and the boundary behavior of operator \(R\)-functions ⋮ Spectral shift functions and Dirichlet-to-Neumann maps ⋮ Singular spectrum near a singular point of Friedrichs model operators of absolute type ⋮ Gluing graphs and the spectral gap: a Titchmarsh–Weyl matrix-valued function approach ⋮ Structure of the singularities of operator functions with a positive imaginary part ⋮ Singular spectrum of the Friedrichs model operators in a neighborhood of the singular point ⋮ Donoghue-type \(m\)-functions for Schrödinger operators with operator-valued potentials ⋮ Weyl function and spectral properties of self-adjoint extensions ⋮ Conditions for the finiteness of the singular spectrum in the self- adjoint Friedrichs model ⋮ Uniqueness theorem and singular spectrum in the Friedrichs model near a singular point ⋮ On a mathematical model of irreversible quantum graphs ⋮ On the singular spectrum of the Friedrichs model operators in a neighborhood of a singular point ⋮ Estimates in operator classes for a difference of functions, from the Pick class, of accretive operators

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