Skip to content

Inequalities A Journey into Linear Analysis

Spend $50 to get a free DVD!

ISBN-10: 0521699738

ISBN-13: 9780521699730

Edition: 2007

Authors: D. J. H. Garling

List price: $64.99
Blue ribbon 30 day, 100% satisfaction guarantee!
Out of stock
what's this?
Rush Rewards U
Members Receive:
Carrot Coin icon
XP icon
You have reached 400 XP and carrot coins. That is the daily max!

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…    
Customers also bought

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.