Characteristic functions and models of nonself-adjoint operators:

This work aims to give a systematic presentation of methods used in the spectral theory of nonself-adjoint, generally unbounded, operators. Subjects treated include the wide class of both selfadjoint and nonself-adjoint extensions of Hermitian operators; characteristic functions of a regular extensi...

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Bibliographische Detailangaben
1. Verfasser: Kuzhel, A. (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Dordrecht [u.a.] Kluwer 1996
Schriftenreihe:Mathematics and its applications 349
Schlagworte:
Zusammenfassung:This work aims to give a systematic presentation of methods used in the spectral theory of nonself-adjoint, generally unbounded, operators. Subjects treated include the wide class of both selfadjoint and nonself-adjoint extensions of Hermitian operators; characteristic functions of a regular extension; the construction of some operator models for different classes of nonself-adjoint operators; the construction of the selfadjoint dilation of an arbitrary dissipative operator and J-unitary and J-selfadjoint dilations of linear operators; the abstract Lax Phillips scheme in scattering theory for spaces with indefinite metric (Pontryagin spaces); the relation between scattering matrix and the characteristic function of J-nonexpansive operators; a structure of J-nonexpansive operators; and contractions and their triangulation.
Beschreibung:IX, 273 S.
ISBN:0792338790

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