Characteristic Functions and Models of Nonself-Adjoint Operators (Mathematics and Its Applications): A. Kuzhel
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Characteristic Functions and Models of Nonself-Adjoint Operators (Mathematics and Its Applications): A. Kuzhel
Springer | ISBN: 0792338790 | 1995-11-30 | djvu (ocr) | 254 pages | 1.62 Mb
This work aims to give a systematic presentation of methods used in the spectral theory of non-selfadjoint, generally unbounded, operators.
Subjects treated include the wide class of both selfadjoint and non-selfadjoint extensions of Hermitian operators; characteristic functions of a regular extension; the construction of some operator models for different classes of non-selfadjoint 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.
Audience: This book will be of interest to post-graduate students and researchers in the field of functional analysis.
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