Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces

  • Lajos Molnár

Part of the Lecture Notes in Mathematics book series (LNM, volume 1895)

About this book

Introduction

Over the past several decades, the territory of preserver problems has been continuously enlarging within the frame of linear analysis. The aim of this work is to present a sort of 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 put on preserver problems concerning some structures of Hilbert space operators which appear in quantum mechanics. Moreover, local automorphisms and local isometries of operator algebras and function algebras are discussed in details.

Keywords

Hilbert space Quantum mechanics function algebras local transformations operator algebras preservers quantum structures

Authors and affiliations

  • Lajos Molnár
    • 1
  1. 1.Institute of MathematicsUniversity of DebrecenDebrecenHungary

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-39944-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-39944-5
  • Online ISBN 978-3-540-39946-9
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book