Daniel Li, Hervé Queffélec

Introduction to Banach Spaces: Analysis and Probability: Volume 1

Übersetzung:Gibbons, Danièle; Gibbons, Greg

• Gebundenes Buch

Produktbeschreibung

This two-volume text provides a complete overview of the theory of Banach spaces. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. Written for graduate students, these books are also a valuable reference for researchers in analysis.

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Produktdetails

• Cambridge Studies in Advanced Mathematics 166
• Verlag: Cambridge University Press
• Seitenzahl: 460
• Erscheinungstermin: 2. November 2017
• Englisch
• Abmessung: 232mm x 155mm x 30mm
• Gewicht: 746g
• ISBN-13: 9781107160514
• ISBN-10: 1107160510
• Artikelnr.: 48606607

Autorenporträt

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

Inhaltsangabe

Preface; Preliminary chapter; 1. Fundamental notions of probability; 2. Bases in Banach spaces; 3. Unconditional convergence; 4. Banach space valued random variables; 5. Type and cotype of Banach spaces. Factorisation through a Hilbert space; 6. p-summing operators. Applications; 7. Some properties of Lp-spaces; 8. The space l1; Annex. Banach algebras, compact Abelian groups; Bibliography; Author index; Notation index; Subject index.

Rezensionen

Review of previous edition: 'carefully written and edited... The exposition is clear, precise and lively, and the text makes very good reading.' Eve Oja, Zentralblatt Math