Inequalities A Journey into Linear Analysis

Name: Inequalities A Journey into Linear Analysis
Availability: OutOfStock
ISBN: 9780521699730

ISBN-10: 0521699738

ISBN-13: 9780521699730

Edition: 2007

Authors: D. J. H. Garling

List price: $64.99

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Description:

Contains a wealth of inequalities used in linear analysis, and explains in detail how they are used. The book begins with Cauchy's inequality and ends with Grothendieck's inequality, in between one finds the Loomis-Whitney inequality, maximal inequalities, inequalities of Hardy and of Hilbert, hypercontractive and logarithmic Sobolev inequalities, Beckner's inequality, and many, many more. The inequalities are used to obtain properties of function spaces, linear operators between them, and of special classes of operators such as absolutely summing operators. This textbook complements and fills out standard treatments, providing many diverse applications: for example, the Lebesgue…

Book details

List price: $64.99
Copyright year: 2007
Publisher: Cambridge University Press
Publication date: 7/5/2007
Binding: Paperback
Pages: 346
Size: 6.75" wide x 9.75" long x 0.75" tall
Weight: 1.342
Language: English

D. J. H. Garling is a Fellow of St John's College and Emeritus Reader in Mathematical Analysis at the University of Cambridge, in the Department of Pure Mathematics and Mathematical Statistics.



Introduction



Measure and integral



The Cauchy-Schwarz inequality



The AM-GM inequality



Convexity, and Jensen's inequality



The Lp spaces



Banach function spaces



Rearrangements



Maximal inequalities



Complex interpolation



Real interpolation



The Hilbert transform, and Hilbert's inequalities



Khintchine's inequality



Hypercontractive and logarithmic Sobolev inequalities



Hadamard's inequality



Hilbert space operator inequalities



Summing operators



Approximation numbers and eigenvalues



Grothendieck's inequality, type and cotype.