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Gibbs Semigroups

Af: Valentin A. Zagrebnov Engelsk Paperback

Gibbs Semigroups

Af: Valentin A. Zagrebnov Engelsk Paperback
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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.


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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.


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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 320
ISBN-13: 9783030188795
Indbinding: Paperback
Udgave:
ISBN-10: 3030188795
Kategori: Funktionsanalyse og transformation
Udg. Dato: 27 nov 2020
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 27 nov 2020
Forfatter(e): Valentin A. Zagrebnov
Forfatter(e) Valentin A. Zagrebnov

Kategori Funktionsanalyse og transformation

ISBN-13 9783030188795

Sprog Engelsk

Indbinding Paperback

Sider 320

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 27 nov 2020

Oplagsdato 27 nov 2020

Forlag Springer Nature Switzerland AG

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