Characteristic Functions and Models of Nonself-Adjoint Operators (Paperback, Softcover reprint of the original 1st ed. 1996)

Over the last decades, the study of nonself-adjoint or nonunitary operators has been mainly based on the method of characteristic functions and on methods of model construction or dilatation for corresponding operator classes. The characteristic function is a mathematical object (a matrix or an operator) associated with a class of nonself-adjoint (or nonunitary) operators that describes the spectral properties of the operators from this class. It may happen that characteristic functions are simpler than the corresponding operators; in this case one can significantly simplify the problem under investigation for these operators. For given characteristic function of an operator A, we construct, in explicit form, an operator that serves as a model A of the operator A in a certain linear space (to some extent this resembles the construction of diagonal and triangular matrices' unitary equivalent or similar, to certain matrix classes). The study of this model operator may give much information about the original operator (its spectrum, the completeness of the system of root subspaces, etc.). In this book, we consider various classes of linear (generally speaking, unbounded) operators, construct and study their characteristic functions and models. We also present a detailed study of contractiol)s and dissipative operators (in particular, from the viewpoint of their triangulation).

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 349
Release date:	September 2011
First published:	1996
Authors:	A. Kuzhel
Dimensions:	240 x 160 x 15mm (L x W x T)
Format:	Paperback
Pages:	254
Edition:	Softcover reprint of the original 1st ed. 1996
ISBN-13:	978-9401065665
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	9401065667
Barcode:	9789401065665

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