Derivations of Commutative Banach Algebras PDF Download

Author: P. C. Curtis
Publisher:
ISBN:
Category : Banach algebras
Languages : en
Pages : 18

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Author: Sandy Grabiner
Publisher: American Mathematical Soc.
ISBN: 0821818465
Category : Banach algebras
Languages : en
Pages : 130

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This paper studies derivations, endomorphisms, automorphisms, and various related questions about certain Banach algebras, B, which are continuously embedded in the space of complex formal power series in the indeterminate z.

Author: Harold G. Dales
Publisher: Oxford University Press on Demand
ISBN: 9780198500131
Category : Mathematics
Languages : en
Pages : 907

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Banach algebras combine algebraic and analytical aspects: it is the interplay of these structures that gives the subject its fascination. This volume expounds the general theory of Banach algebras, and shows how their topology is often determined by their algebraic structure: the central questions ask when homomorphisms and derivations from Banach algebras are automatically continuous, and seek canonical forms for these maps. The book synthesizes work over the last 20 years, and givesa definitive account; there are many new and unpublished results. The book describes many specific classes of Banach algebras, including function algebras, group algebras, algebras of operators, C*-algebras, and radical Banach algebras; it is a compendium of results on these examples. The subject interweaves algebra, functional analysis, and complex analysis, and has a dash of set theory and logic; the background in all these areas is fully explained. This volume is essential reading for anyone interested in any aspect of this vast subject.

Author: Ola Bratteli
Publisher: Springer
ISBN: 3540473769
Category : Mathematics
Languages : en
Pages : 283

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Author: Harold G. Dales
Publisher: American Mathematical Soc.
ISBN: 0821847759
Category : Banach algebras
Languages : en
Pages : 178

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"Volume 205, number 966 (end of volume)."

Author: J.M. Bachar
Publisher: Springer
ISBN: 3540394540
Category : Mathematics
Languages : en
Pages : 477

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Author: Ernst Albrecht
Publisher: Walter de Gruyter
ISBN: 3110802007
Category : Mathematics
Languages : en
Pages : 576

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The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Author: Eberhard Kaniuth
Publisher: Springer Science & Business Media
ISBN: 0387724761
Category : Mathematics
Languages : en
Pages : 362

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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: Frederick P. Greenleaf
Publisher: American Mathematical Soc.
ISBN: 0821850342
Category : Mathematics
Languages : en
Pages : 295

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In this work, these proceedings result from a conference on Banach Algebras and Several Complex Variables held June 21-24, 1983, to honor Professor Charles E. Rickart upon his retirement from Yale University. Articles present recent advances in a wide spectrum of topics related to Banach algebras, function algebras and infinite dimensional holomorphy, areas where Professor Rickart has made important contributions. From a research point of view, the articles of J. Esterle and B. Kramm are of special interest. Although the topics in this volume are diverse, a general knowledge of fundamental notions appearing in Banach algebra theory will suffice for understanding most articles.

Author: Bernard R. Gelbaum
Publisher:
ISBN:
Category : Banach algebras
Languages : en
Pages : 44

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