Hardcover. 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. This book contains a wealth of inequalities used in linear analysis, and explains in detail how they are used. This textbook complements and fills out standard treatments, providing many diverse applications to broaden the knowledge of postgraduates and researchers. It will be a useful reference for all who work in linear analysis. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

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Bibliographic Details

Title

Inequalities: A Journey into Linear Analysis (Hardcover)

Publisher

Cambridge University Press, Cambridge

Publication Date

2007

Language

English

ISBN 10

0521876249

ISBN 13

9780521876247

Binding

Hardcover

Edition

1st Edition

Condition

new

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About this title

Synopsis

This book contains a wealth of inequalities used in linear analysis, explaining in detail how they are used.

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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