Items related to LIPSCHITZ ALGEBRAS (SECOND EDITION)

LIPSCHITZ ALGEBRAS (SECOND EDITION) - Hardcover

Nik Weaver

 
9789814740630: LIPSCHITZ ALGEBRAS (SECOND EDITION)

Synopsis

This is the standard reference on algebras of Lipschitz functions, written by the leading figure in the field. The second edition includes new chapters on nonlinear Banach space geometry, differentiability in metric measure spaces, and quantum metrics. This latest material reflects the importance of spaces of Lipschitz functions in a diverse range of current research directions. Every functional analyst should have some knowledge of this subject.

Readership: Graduate students and specialists in functional analysis.

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Review

"The book is very well-written by one of the leading figures in the subject. It is self-contained, includes relevant recent advances and is enriched by a large number of examples and illustrations. In addition to the general bibliography, each chapter includes a section of notes, which details the authorship of the main results, and provides useful hints for further readings. Undoubtedly, this edition will be received by researchers with the same success as the first one." -- European Mathematical Society

Reviews of the First Edition:

"This nice little volume attempts, with considerable success, to place spaces and algebras of Lipschitz functions in functional analysis alongside their more familiar cousins whose elements are continuous or measurable functions of one sort or another. Most readers will discover that its subject is richer than they imagined, and that, notwithstanding the author's engaging style, it can be quite difficult." -- Mathematical Reviews

"The book is clearly written and contains a wealth of material on spaces of Lipschitz functions, available for the first time in book form. It is fairly self-contained, accessible to students acquainted with the basics of measure theory and functional analysis. The open problems, posed in various places in the book, open new research opportunities for the diligent reader." -- Studia Universitatis Babes-Bolyai, Series Mathematica

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