Selected preserver problems on algebraic structures of linear operators and on function spaces

Bibliographic Information

Selected preserver problems on algebraic structures of linear operators and on function spaces

L. Molnár

(Lecture notes in mathematics, 1895)

Springer, c2007

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Note

"Originally this work served as the author's dissertation for the scientific title 'Doctor of the Hungarian Academy of Sciences.'"--Pref

Includes bibliographical references (p. [217]-229) and index

Description and Table of Contents

Description

The territory of preserver problems has grown continuously within linear analysis. This book presents a cross-section of the modern theory of preservers on infinite dimensional spaces (operator spaces and function spaces) through the author's corresponding results. Special emphasis is placed on preserver problems concerning some structures of Hilbert space operators which appear in quantum mechanics. In addition, local automorphisms and local isometries of operator algebras and function algebras are discussed in detail.

Table of Contents

Some Linear and Multiplicative Preserver Problems on Operator Algebras and Function Algebras.- Preservers on Quantum Structures.- Local Automorphisms and Local Isometries of Operator Algebras and Function Algebras.

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