Daniel Li, Herve Queffelec (Universite de Lille I)

Introduction to Banach Spaces

Analysis and Probability
Übersetzung:Gibbons, Greg; Gibbons, Danièle

• Gebundenes Buch

Produktbeschreibung

This two-volume text provides a complete overview of the theory of Banach spaces. Volume 2 focuses on the applications of Banach spaces and includes four surveys outlining recent developments in the field. Written for graduate students these books are also a valuable reference for researchers in analysis.

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Produktdetails

• Introduction to Banach Spaces: Analysis and Probability 2 Volume Hardback Set (Series Numbers 166-167)
• Verlag: Cambridge University Press
• Seitenzahl: 406
• Erscheinungstermin: 8. März 2019
• Englisch
• Abmessung: 235mm x 157mm x 28mm
• Gewicht: 676g
• ISBN-13: 9781107162624
• ISBN-10: 1107162629
• Artikelnr.: 48634755

Autorenporträt

Daniel Li is a Professor at Université d'Artois, France.

Inhaltsangabe

Preface; 1. Euclidean sections; 2. Separable Banach spaces without the approximation property; 3. Gaussian processes; 4. Reflexive subspaces of L1; 5. The method of selectors. Examples of its use; 6. The Pisier space of almost surely continuous functions. Applications; Appendix. News in the theory of infinite-dimensional Banach spaces in the past twenty years G. Godefroy; An update on some problems in high dimensional convex geometry and related probabilistic results O. Guédon; A few updates and pointers G. Pisier; On the mesh condition for Sidon sets L. Rodriguez-Piazza; Bibliography; Author index; Notation index; Subject index.

Rezensionen

Review of previous edition: 'Undoubtedly, the book will be very useful for all mathematicians (not only for postgraduate students) who work in the theory of Banach spaces, harmonic analysis and probability theory.' Anatolij M. Plichko, American Mathematical Society