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Author : H. R. Gelbaum
Publisher :
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4.3/5 (91 download)
Download or read book Note on the Tensor Product of Banach Algebras written by H. R. Gelbaum and published by . This book was released on 1960 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bernard R. Gelbaum
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.3/5 (91 download)
Download or read book Tensor Products of Banach Algebras written by Bernard R. Gelbaum and published by . This book was released on 1958 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Raymond A. Ryan
Publisher : Springer Science & Business Media
ISBN 13 : 9781852334376
Total Pages : 244 pages
Book Rating : 4.3/5 (343 download)
Download or read book Introduction to Tensor Products of Banach Spaces written by Raymond A. Ryan and published by Springer Science & Business Media. This book was released on 2002-01-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Alain Guichardet
Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.F/5 ( download)
Download or read book Tensor Products of C*-algebras written by Alain Guichardet and published by . This book was released on 1969 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Theodore W. Palmer
Publisher : Cambridge University Press
ISBN 13 : 9780521366373
Total Pages : 820 pages
Book Rating : 4.3/5 (663 download)
Download or read book Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras written by Theodore W. Palmer and published by Cambridge University Press. This book was released on 1994-03-25 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1968 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Theodore W. Palmer
Publisher : Cambridge University Press
ISBN 13 : 9780521366380
Total Pages : 846 pages
Book Rating : 4.3/5 (663 download)
Download or read book Banach Algebras and the General Theory of *-Algebras: Volume 2, *-Algebras written by Theodore W. Palmer and published by Cambridge University Press. This book was released on 1994 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second of two volumes gives a modern exposition of the theory of Banach algebras.
Author : Gilles Pisier
Publisher : Cambridge University Press
ISBN 13 : 1108479014
Total Pages : 495 pages
Book Rating : 4.1/5 (84 download)
Download or read book Tensor Products of C*-algebras and Operator Spaces written by Gilles Pisier and published by Cambridge University Press. This book was released on 2020-02-27 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an important open problem on operator algebras in a style accessible to young researchers or Ph.D. students.
Author : Masamichi Takesaki
Publisher : Springer Science & Business Media
ISBN 13 : 1461261880
Total Pages : 424 pages
Book Rating : 4.4/5 (612 download)
Download or read book Theory of Operator Algebras I written by Masamichi Takesaki and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics for infinite dimensional objects is becoming more and more important today both in theory and application. Rings of operators, renamed von Neumann algebras by J. Dixmier, were first introduced by J. von Neumann fifty years ago, 1929, in [254] with his grand aim of giving a sound founda tion to mathematical sciences of infinite nature. J. von Neumann and his collaborator F. J. Murray laid down the foundation for this new field of mathematics, operator algebras, in a series of papers, [240], [241], [242], [257] and [259], during the period of the 1930s and early in the 1940s. In the introduction to this series of investigations, they stated Their solution 1 {to the problems of understanding rings of operators) seems to be essential for the further advance of abstract operator theory in Hilbert space under several aspects. First, the formal calculus with operator-rings leads to them. Second, our attempts to generalize the theory of unitary group-representations essentially beyond their classical frame have always been blocked by the unsolved questions connected with these problems. Third, various aspects of the quantum mechanical formalism suggest strongly the elucidation of this subject. Fourth, the knowledge obtained in these investigations gives an approach to a class of abstract algebras without a finite basis, which seems to differ essentially from all types hitherto investigated. Since then there has appeared a large volume of literature, and a great deal of progress has been achieved by many mathematicians.
Author : Alain Guichardet
Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.3/5 (91 download)
Download or read book Tensor Products of C*-algebras written by Alain Guichardet and published by . This book was released on 1969 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A.Y. Helemskii
Publisher : Springer Science & Business Media
ISBN 13 : 9400923546
Total Pages : 352 pages
Book Rating : 4.4/5 (9 download)
Download or read book The Homology of Banach and Topological Algebras written by A.Y. Helemskii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi - ... si j'avait su comment en revenir. One service mathematics has rendered the human race. It has put common sense back je n'y serais point aUe.' it belongs. on the topmost shelf next Jules Verne where to the dusty canister labelled 'discarded non· The series is divergent: therefore we may be sense'. Eric T. Bell able to do something with it. o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Author : Frank F. Bonsall
Publisher : Springer Science & Business Media
ISBN 13 : 3642656692
Total Pages : 312 pages
Book Rating : 4.6/5 (426 download)
Download or read book Complete Normed Algebras written by Frank F. Bonsall and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The axioms of a complex Banach algebra were very happily chosen. They are simple enough to allow wide ranging fields of application, notably in harmonic analysis, operator theory and function algebras. At the same time they are tight enough to allow the development of a rich collection of results, mainly through the interplay of the elementary parts of the theories of analytic functions, rings, and Banach spaces. Many of the theorems are things of great beauty, simple in statement, surprising in content, and elegant in proof. We believe that some of them deserve to be known by every mathematician. The aim of this book is to give an account of the principal methods and results in the theory of Banach algebras, both commutative and non commutative. It has been necessary to apply certain exclusion principles in order to keep our task within bounds. Certain classes of concrete Banach algebras have a very rich literature, namely C*-algebras, function algebras, and group algebras. We have regarded these highly developed theories as falling outside our scope. We have not entirely avoided them, but have been concerned with their place in the general theory, and have stopped short of developing their special properties. For reasons of space and time we have omitted certain other topics which would quite naturally have been included, in particular the theories of multipliers and of extensions of Banach algebras, and the implications for Banach algebras of some of the standard algebraic conditions on rings.
Author : Joachim Zacharias
Publisher : American Mathematical Soc.
ISBN 13 : 0821815458
Total Pages : 135 pages
Book Rating : 4.8/5 (218 download)
Download or read book Continuous Tensor Products and Arveson's Spectral $C^*$-Algebras written by Joachim Zacharias and published by American Mathematical Soc.. This book was released on 2000 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians interested in operator algebras
Author : Joseph Diestel
Publisher : American Mathematical Soc.
ISBN 13 : 9780821872697
Total Pages : 294 pages
Book Rating : 4.8/5 (726 download)
Download or read book The Metric Theory of Tensor Products written by Joseph Diestel and published by American Mathematical Soc.. This book was released on 2008-01-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Famed mathematician Alexander Grothendieck, in his Resume, set forth his plan for the study of the finer structure of Banach spaces. He used tensor products as a foundation upon which he built the classes of operators most important to the study of Banach spaces and established the importance of the "local" theory in the study of these operators and the spaces they act upon. When Lintenstrauss and Pelczynski addressed his work at the rebirth of Banach space theory, they shed his Fundamental Inequality in the trappings of operator ideals by shedding the tensorial formulation. The authors of this book, however, feel that there is much of value in Grothendieck's original formulations in the Resume and here endeavor to "expose the Resume" by presenting most of Grothendieck's arguments using the mathematical tools that were available to him at the time.
Author :
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.3/5 (91 download)
Download or read book U.S. Government Research Reports written by and published by . This book was released on 1960 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eberhard Kaniuth
Publisher : Springer Science & Business Media
ISBN 13 : 0387724761
Total Pages : 362 pages
Book Rating : 4.3/5 (877 download)
Download or read book A Course in Commutative Banach Algebras written by Eberhard Kaniuth and published by Springer Science & Business Media. This book was released on 2008-12-16 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : David P. Blecher
Publisher : Clarendon Press
ISBN 13 : 9780198526599
Total Pages : 398 pages
Book Rating : 4.5/5 (265 download)
Download or read book Operator Algebras and Their Modules written by David P. Blecher and published by Clarendon Press. This book was released on 2004 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable reference is the first to present the general theory of algebras of operators on a Hilbert space, and the modules over such algebras. The new theory of operator spaces is presented early on and the text assembles the basic concepts, theory and methodologies needed to equip a beginning researcher in this area. A major trend in modern mathematics, inspired largely by physics, is toward `noncommutative' or `quantized' phenomena. In functional analysis, this has appeared notably under the name of `operator spaces', which is a variant of Banach spaces which is particularly appropriate for solving problems concerning spaces or algebras of operators on Hilbert space arising in 'noncommutative mathematics'. The category of operator spaces includes operator algebras, selfadjoint (that is, C*-algebras) or otherwise. Also, most of the important modules over operator algebras are operator spaces. A common treatment of the subjects of C*-algebras, Non-selfadjoint operator algebras, and modules over such algebras (such as Hilbert C*-modules), together under the umbrella of operator space theory, is the main topic of the book. A general theory of operator algebras, and their modules, naturally develops out of the operator space methodology. Indeed, operator space theory is a sensitive enough medium to reflect accurately many important non-commutative phenomena. Using recent advances in the field, the book shows how the underlying operator space structure captures, very precisely, the profound relations between the algebraic and the functional analytic structures involved. The rich interplay between spectral theory, operator theory, C*-algebra and von Neumann algebra techniques, and the influx of important ideas from related disciplines, such as pure algebra, Banach space theory, Banach algebras, and abstract function theory is highlighted. Each chapter ends with a lengthy section of notes containing a wealth of additional information.
