Operator Functions and Operator Equations
World Scientific Publishing Company Incorporated
Hardcover 498 pages English May 20, 2014
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Operator Functions and Operator Equations
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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.
- Author:
- Hongyu Guo
- Publisher:
- World Scientific Publishing Company Incorporated
- Publication Date:
- May 20, 2014
- Number of pages:
- 498 pages
- Language:
- English
- Binding:
- Hardcover
- ISBN-10:
- 9814449326
- ISBN-13:
- 9789814449328