Volker Runde

Amenable Banach Algebras (eBook, PDF)

A Panorama

• Format: PDF

Produktbeschreibung

Produktdetails

• Verlag: Springer New York
• Erscheinungstermin: 3. März 2020
• Englisch
• ISBN-13: 9781071603512
• Artikelnr.: 58766468

Autorenporträt

Inhaltsangabe

---

Preface.- List of Symbols.- Introduction.- 0 Paradoxical Decompositions.- 1 Amenable, Locally Compact Groups.- 2 Amenable Banach Algebras.- 3 Examples.- 4 Amenability-Like Properties.- 5 Dual Banach Algebras.- 6 Banach Homological Algebra.- 7 Operator Algebras on Hilbert Spaces.- 8 Operator Amenability.- A Banach Spaces.- B Banach Algebras.- C C*- and Neumann Algebras.- D Abstract Harmonic Analysis.- E Operator Spaces.- F Fourier and Fourier-Stieltjes Algebras.- References.- Index of Names.- Index.

Rezensionen

"The author gives full and complete proofs of many significant theorems. This book is indeed a 'panorama' on the subject of amenable Banach algebras. ... The notes and comments at the end of chapters appear to be remarkably accurate and comprehensive in citing the literature; the author appears to have a complete knowledge of the history of existing papers. The notes include some open problems." (H. G. Dales, Mathematical Reviews, May, 2022)

"This book is written in a clear and readable style. ... Graduate students and researchers in the theory of Banach and operator algebras will enjoy reading this carefully written book." (Mohammad Sal Moslehian, zbMATH 1445.46001, 2020)