Operator Functions And Operator Equations

算子函数与算子方程

泛函分析

售   价:
1035.00
发货周期:预计3-5周发货
作      者
出  版 社
出版时间
2017年09月30日
装      帧
精装
ISBN
9789813221260
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页      码
230
语      种
英语
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图书简介
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. Key Features: ○ Presents norm estimates for functions of two operator arguments and their applications ○ Gives a systematic exposition of solution estimates of linear operator equations ○ Suggests bounds for the similarity condition numbers of diagonalizable operators ○ The published results concerning the functions of one operator argument in this book are considerably simplified and supplemented
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