Gibbs Semigroups

• Main Author: Zagrebnov, Valentin A. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Series: Operator Theory: Advances and Applications, 273
• Subjects: Operator theory.; Functional analysis.; Operator Theory.; Functional Analysis.

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...

Table of Contents:

• Semigroups and their generators
• Classes of compact operators
• Trace inequalities
• Gibbs semigroups
• Product formulae for Gibbs semigroups
• Product formulae in symmetrically-normed ideals
• Product formulae in Dixmier ideal
• Appendix A. Spectra of closed operators
• Appendix B. Inequalities in ideals
• Appendix B. More inequalities
• Appendix C. Kato functions
• Appendix D. Lie-Trotter-Kato product formulae: comments on the bibliography
• Bibliography
• Index.