Banach Function Algebras, Arens Regularity, and BSE Norms PDF Download
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Author: Harold Garth Dales
Publisher: Springer Nature
ISBN: 3031445325
Category :
Languages : en
Pages : 452
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Book Description
Author: Harold Garth Dales
Publisher: Springer Nature
ISBN: 3031445325
Category :
Languages : en
Pages : 452
Get Book Here
Book Description
Author: H. Garth Dales
Publisher:
ISBN: 9783031445347
Category : Algebras, Linear
Languages : en
Pages : 0
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Book Description
This book is about semisimple Banach algebras with a focus on those that are commutative. After laying out the necessary background material from functional analysis, geometry of Banach spaces and measure theory, we introduce many specific Banach algebras from operator theory, harmonic analysis, and function theory and study their basic properties. Some of the questions dealt with in the book are: Whether the introduced Banach algebras are BSE-algebras, whether they have BSE norms, whether they have the separating ball property or some variant of it, and whether they are Arens regular. The book contains quite a few new results, as well as new proofs of a good many known results. The book is intended for those who are preparing to work in Banach algebras or who have been doing research in related areas.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1194
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Book Description
Author: P. Wojtaszczyk
Publisher: Cambridge University Press
ISBN: 9780521566759
Category : Mathematics
Languages : en
Pages : 400
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Book Description
This book is intended to be used with graduate courses in Banach space theory.
Author: Andrew Browder
Publisher:
ISBN: 9780805314311
Category :
Languages : en
Pages : 273
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Book Description
Author: Edgar Lee Stout
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 536
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Book Description
Author: Harold G. Dales
Publisher: Oxford University Press on Demand
ISBN: 9780198500131
Category : Mathematics
Languages : en
Pages : 907
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Book Description
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: I. Martin Isaacs
Publisher: American Mathematical Soc.
ISBN: 1470434857
Category : Mathematics
Languages : en
Pages : 384
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Book Description
This book, which can be considered as a sequel of the author's famous book Character Theory of Finite Groups, concerns the character theory of finite solvable groups and other groups that have an abundance of normal subgroups. It is subdivided into three parts: -theory, character correspondences, and M-groups. The -theory section contains an exposition of D. Gajendragadkar's -special characters, and it includes various extensions, generalizations, and applications of his work. The character correspondences section proves the McKay character counting conjecture and the Alperin weight conjecture for solvable groups, and it constructs a canonical McKay bijection for odd-order groups. In addition to a review of some basic material on M-groups, the third section contains an exposition of the use of symplectic modules for studying M-groups. In particular, an accessible presentation of E. C. Dade's deep results on monomial characters of odd prime-power degree is included. Very little of this material has previously appeared in book form, and much of it is based on the author's research. By reading a clean and accessible presentation written by the leading expert in the field, researchers and graduate students will be inspired to learn and work in this area that has fascinated the author for decades.
Author: Mahmoud Filali
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110602415
Category : Mathematics
Languages : en
Pages : 264
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Book Description
Banach algebras is a multilayered area in mathematics with many ramifications. With a diverse coverage of different schools working on the subject, this proceedings volume reflects recent achievements in areas such as Banach algebras over groups, abstract harmonic analysis, group actions, amenability, topological homology, Arens irregularity, C*-algebras and dynamical systems, operator theory, operator spaces, and locally compact quantum groups.
Author: Chretien de Troyes
Publisher: Yale University Press
ISBN: 0300187580
Category : Poetry
Languages : en
Pages : 242
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Book Description
The twelfth-century French poet Chrétien de Troyes is a major figure in European literature. His courtly romances fathered the Arthurian tradition and influenced countless other poets in England as well as on the continent. Yet because of the difficulty of capturing his swift-moving style in translation, English-speaking audiences are largely unfamiliar with the pleasures of reading his poems. Now, for the first time, an experienced translator of medieval verse who is himself a poet provides a translation of Chrétien’s major poem, Yvain, in verse that fully and satisfyingly captures the movement, the sense, and the spirit of the Old French original. Yvain is a courtly romance with a moral tenor; it is ironic and sometimes bawdy; the poetry is crisp and vivid. In addition, the psychological and the socio-historical perceptions of the poem are of profound literary and historical importance, for it evokes the emotions and the values of a flourishing, vibrant medieval past.
