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Operator Functions and Operator Equations

Operator Functions and Operator Equations

Hardcover

General Mathematics

ISBN10: 9813221267
ISBN13: 9789813221260
Publisher: World Scientific Publishing Company
Published: Sep 18 2017
Pages: 260
Weight: 1.15
Height: 0.80 Width: 6.00 Depth: 9.10
Language: English

This book is devoted to norm estimates for operator-valued functions of one and two operator arguments, as well as to their applications to spectrum perturbations of operators and to linear operator equations, i.e. to equations whose solutions are linear operators. Linear operator equations arise in both mathematical theory and engineering practice. The norm estimates suggested in the book have applications to the theories of ordinary differential, difference, functional-differential and integro-differential equations, as well as to the theories of integral operators and analytic functions. This book provides new tools for specialists in matrix theory and functional analysis. A significant part of the book covers the theory of triangular representations of operators that was developed by L de Branges, M S Brodskii, I C Gohberg, M G Krein, M S Livsic and other mathematicians.

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General Mathematics