Introduction to Tensor Products of Banach Spaces PDF Download
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Author: Raymond A. Ryan
Publisher: Springer Science & Business Media
ISBN: 1447139038
Category : Mathematics
Languages : en
Pages : 229
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Book Description
This is the first ever truly introductory text to the theory of tensor products of Banach spaces. Coverage includes a full treatment of the Grothendieck theory of tensor norms, approximation property and the Radon-Nikodym Property, Bochner and Pettis integrals. Each chapter contains worked examples and a set of exercises, and two appendices offer material on summability in Banach spaces and properties of spaces of measures.
Author: Raymond A. Ryan
Publisher: Springer Science & Business Media
ISBN: 1447139038
Category : Mathematics
Languages : en
Pages : 229
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Book Description
This is the first ever truly introductory text to the theory of tensor products of Banach spaces. Coverage includes a full treatment of the Grothendieck theory of tensor norms, approximation property and the Radon-Nikodym Property, Bochner and Pettis integrals. Each chapter contains worked examples and a set of exercises, and two appendices offer material on summability in Banach spaces and properties of spaces of measures.
Author: Bernard R. Gelbaum
Publisher:
ISBN:
Category : Banach algebras
Languages : en
Pages : 44
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Book Description
Author: Theodore W. Palmer
Publisher: Cambridge University Press
ISBN: 9780521366373
Category : Mathematics
Languages : en
Pages : 820
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Book Description
This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasizes the role of *-algebraic structure and explores the algebraic results that underlie the theory of Banach algebras and *-algebras. The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class of complex algebras rather than topological algebras. Proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Volume II is forthcoming.
Author: H. R. Gelbaum
Publisher:
ISBN:
Category : Banach algebras
Languages : en
Pages : 10
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Book Description
Author: Eberhard Kaniuth
Publisher: Springer Science & Business Media
ISBN: 0387724761
Category : Mathematics
Languages : en
Pages : 362
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Book Description
Banach algebras are Banach spaces equipped with a continuous multipli- tion. In roughterms,there arethree types ofthem:algebrasofboundedlinear operators on Banach spaces with composition and the operator norm, al- bras consisting of bounded continuous functions on topological spaces with pointwise product and the uniform norm, and algebrasof integrable functions on locally compact groups with convolution as multiplication. These all play a key role in modern analysis. Much of operator theory is best approached from a Banach algebra point of view and many questions in complex analysis (such as approximation by polynomials or rational functions in speci?c - mains) are best understood within the framework of Banach algebras. Also, the study of a locally compact Abelian group is closely related to the study 1 of the group algebra L (G). There exist a rich literature and excellent texts on each single class of Banach algebras, notably on uniform algebras and on operator algebras. This work is intended as a textbook which provides a thorough introduction to the theory of commutative Banach algebras and stresses the applications to commutative harmonic analysis while also touching on uniform algebras. In this sense and purpose the book resembles Larsen’s classical text [75] which shares many themes and has been a valuable resource. However, for advanced graduate students and researchers I have covered several topics which have not been published in books before, including some journal articles.
Author: Bernard R. Gelbaum
Publisher:
ISBN:
Category : Banach algebras
Languages : en
Pages : 38
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Book Description
Author: Kjeld Bagger Laursen
Publisher:
ISBN:
Category : Banach algebras
Languages : en
Pages : 184
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Book Description
Author: Gilles Pisier
Publisher: Cambridge University Press
ISBN: 1108479014
Category : Mathematics
Languages : en
Pages : 495
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Book Description
Presents an important open problem on operator algebras in a style accessible to young researchers or Ph.D. students.
Author: Kjeld B. Laursen
Publisher:
ISBN:
Category :
Languages : da
Pages : 16
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Book Description
Author: Alain Guichardet
Publisher:
ISBN:
Category : C*-algebras
Languages : en
Pages : 122
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Book Description
