Operator Functions And Operator Equations

Michael Gil'

ISBN 10: 9813221267 / ISBN 13: 9789813221260

Published by World Scientific Publishing Co Pte Ltd, SG, 2017

About this Item

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.

Seller Inventory # LU-9789813221260

Bibliographic Details

• Title: Operator Functions And Operator Equations
• Publisher: World Scientific Publishing Co Pte Ltd, SG
• Publication Date: 2017
• Language: English
• ISBN 10: 9813221267
• ISBN 13: 9789813221260
• Binding: Hardback
• Condition: New

About this title

Synopsis

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.

Readership: Undergraduate and graduate students, and researchers in matrix theory, functional analysis and their applications to differential and difference equations.