Lipschitz Algebras (Second Edition)

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Author :
Release : 2018-05-14
Genre : Mathematics
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Book Rating : 659/5 ( reviews)

Lipschitz Algebras (Second Edition) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lipschitz Algebras (Second Edition) write by Nik Weaver. This book was released on 2018-05-14. Lipschitz Algebras (Second Edition) available in PDF, EPUB and Kindle. '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 SocietyThis 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.

Lipschitz Algebras

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Author :
Release : 1999
Genre : Mathematics
Kind :
Book Rating : 735/5 ( reviews)

Lipschitz Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lipschitz Algebras write by Nik Weaver. This book was released on 1999. Lipschitz Algebras available in PDF, EPUB and Kindle. The Lipschitz algebras Lp(M), for M a complete metric space, are quite analogous to the spaces C(omega) and Linfinity(X), for omega a compact Hausdorff space and X a sigma-finite measure space. Although the Lipschitz algebras have not been studied as thoroughly as these better-known cousins, it is becoming increasingly clear that they play a fundamental role in functional analysis, and are also useful in many applications, especially in the direction of metric geometry. This book gives a comprehensive treatment of (what is currently known about) the beautiful theory of these algebras.

Lipschitz Algebras

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Author :
Release : 1999-07-22
Genre : Mathematics
Kind :
Book Rating : 95X/5 ( reviews)

Lipschitz Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lipschitz Algebras write by Nik Weaver. This book was released on 1999-07-22. Lipschitz Algebras available in PDF, EPUB and Kindle. The Lipschitz algebras Lip(M), for M a complete metric space, are quite analogous to the spaces C(Ω) and L∞(X), for Ω a compact Hausdorff space and X a σ-finite measure space. Although the Lipschitz algebras have not been studied as thoroughly as these better-known cousins, it is becoming increasingly clear that they play a fundamental role in functional analysis, and are also useful in many applications, especially in the direction of metric geometry. This book gives a comprehensive treatment of (what is currently known about) the beautiful theory of these algebras.

Automatic Continuity of Lipschitz Algebras

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Author :
Release : 1993
Genre :
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Book Rating : /5 ( reviews)

Automatic Continuity of Lipschitz Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Automatic Continuity of Lipschitz Algebras write by Branka Pavloviic. This book was released on 1993. Automatic Continuity of Lipschitz Algebras available in PDF, EPUB and Kindle.

Lipschitz Functions

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Release : 2019-05-23
Genre : Mathematics
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Book Rating : 896/5 ( reviews)

Lipschitz Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lipschitz Functions write by Ştefan Cobzaş. This book was released on 2019-05-23. Lipschitz Functions available in PDF, EPUB and Kindle. The aim of this book is to present various facets of the theory and applications of Lipschitz functions, starting with classical and culminating with some recent results. Among the included topics we mention: characterizations of Lipschitz functions and relations with other classes of functions, extension results for Lipschitz functions and Lipschitz partitions of unity, Lipschitz free Banach spaces and their applications, compactness properties of Lipschitz operators, Bishop-Phelps type results for Lipschitz functionals, applications to best approximation in metric and in metric linear spaces, Kantorovich-Rubinstein norm and applications to duality in the optimal transport problem, Lipschitz mappings on geodesic spaces. The prerequisites are basic results in real analysis, functional analysis, measure theory (including vector measures) and topology, which, for reader's convenience, are surveyed in the first chapter of the book.