Inequalities. a Journey Into Linear Analysis

Garling, D. J. H.

ISBN 10: 0521699738 ISBN 13: 9780521699730

Published by Cambridge University Press, Cambridge, 2007

Language: English

Condition: Used - Near fine Soft cover

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Slight shelfwear. ; Octavo; x, 335 pages.

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Bibliographic Details

Title

Inequalities. a Journey Into Linear Analysis

Publisher

Cambridge University Press, Cambridge

Publication Date

2007

Language

English

ISBN 10

0521699738

ISBN 13

9780521699730

Binding

Original decorated wrappers

Edition

First Paperback Edition.

Condition

Near Fine

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About this title

Synopsis

This book 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 decomposition theorem and the Lebesgue density theorem, the Hilbert transform and other singular integral operators, the martingale convergence theorem, eigenvalue distributions, Lidskii's trace formula, Mercer's theorem and Littlewood's 4/3 theorem. It will broaden the knowledge of postgraduate and research students, and should also appeal to their teachers, and all who work in linear analysis.

About the Author

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

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