Operator Theory: Advances and Applications

Gibbs Semigroups

Authors: Zagrebnov, Valentin A.

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  • Provides unique insights on the Gibbs semigroups theory
  • Extends the theory to general results
  • Includes three appendices
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eBook 71,68 €
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Hardcover 124,79 €
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Softcover 88,39 €
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About this book

This book focuses on the theory of the Gibbs semigroups, which originated in the 1970s and was motivated by the study of strongly continuous operator semigroups with values in the trace-class ideal. The book offers an up-to-date, exhaustive overview of the advances achieved in this theory after half a century of development.  It begins with a tutorial introduction to the necessary background material, before presenting the Gibbs semigroups and then providing detailed and systematic information on the Trotter-Kato product formulae in the trace-norm topology. In addition to reviewing the state-of-art concerning the Trotter-Kato product formulae, the book extends the scope of exposition from the trace-class ideal to other ideals. Here, special attention is paid to results on semigroups in symmetrically normed ideals and in the Dixmier ideal.



By examining the progress made in Gibbs semigroup theory and in extensions of the Trotter-Kato product formulae to symmetrically normed and Dixmier ideals, the book shares timely and valuable insights for readers interested in pursuing these subjects further. As such, it will appeal to researchers, undergraduate and graduate students in mathematics and mathematical physics.


About the authors

Valentin A. Zagrebnov is an Emeritus Professor of Aix-Marseilles University. He is a member of the Institut de Mathématiques de Marseille - UMR 7373 and its research group on Analysis, Geometry and Topology. 

Reviews

“The book captures a fascinating snapshot of the current state of Gibbs semigroup theory. The book also provides references to the rich literature, nice historical remarks, and inspiring comments on the topics. It is readable and appropriate for readers who are familiar with the basics of functional analysis and linear operator theory. As such, the book will appeal to students at the senior undergraduate and graduate levels as well as researchers in mathematics and mathematical physics.” (Min He, Mathematical Reviews, June, 2021)


Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook 71,68 €
price for Spain (gross)
  • ISBN 978-3-030-18877-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-3-030-18876-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 88,39 €
price for Spain (gross)
  • ISBN 978-3-030-18879-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Gibbs Semigroups
Authors
Series Title
Operator Theory: Advances and Applications
Series Volume
273
Copyright
2019
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-18877-1
DOI
10.1007/978-3-030-18877-1
Hardcover ISBN
978-3-030-18876-4
Softcover ISBN
978-3-030-18879-5
Series ISSN
0255-0156
Edition Number
1
Number of Pages
XVI, 320
Topics