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

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

Author: Allan M. Sinclair
Publisher: Cambridge University Press
ISBN: 0521285984
Category : Mathematics
Languages : en
Pages : 153

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Book Description
In these notes the abstract theory of analytic one-parameter semigroups in Banach algebras is discussed, with the Gaussian, Poisson and fractional integral semigroups in convolution Banach algebras serving as motivating examples. Such semigroups are constructed in a Banach algebra with a bounded approximate identity. Growth restrictions on the semigroup are linked to the structure of the underlying Banach algebra. The Hille-Yosida Theorem and a result of J. Esterle's on the nilpotency of semigroups are proved in detail. The lecture notes are an expanded version of lectures given by the author at the University of Edinburgh in 1980 and can be used as a text for a graduate course in functional analysis.

Author: Volker Runde
Publisher: Springer Nature
ISBN: 1071603515
Category : Mathematics
Languages : en
Pages : 468

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Book Description
This volume provides readers with a detailed introduction to the amenability of Banach algebras and locally compact groups. By encompassing important foundational material, contemporary research, and recent advancements, this monograph offers a state-of-the-art reference. It will appeal to anyone interested in questions of amenability, including those familiar with the author’s previous volume Lectures on Amenability. Cornerstone topics are covered first: namely, the theory of amenability, its historical context, and key properties of amenable groups. This introduction leads to the amenability of Banach algebras, which is the main focus of the book. Dual Banach algebras are given an in-depth exploration, as are Banach spaces, Banach homological algebra, and more. By covering amenability’s many applications, the author offers a simultaneously expansive and detailed treatment. Additionally, there are numerous exercises and notes at the end of every chapter that further elaborate on the chapter’s contents. Because it covers both the basics and cutting edge research, Amenable Banach Algebras will be indispensable to both graduate students and researchers working in functional analysis, harmonic analysis, topological groups, and Banach algebras. Instructors seeking to design an advanced course around this subject will appreciate the student-friendly elements; a prerequisite of functional analysis, abstract harmonic analysis, and Banach algebra theory is assumed.

Author: Harold Garth Dales
Publisher: Springer Nature
ISBN: 3031445325
Category :
Languages : en
Pages : 452

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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: Theodore W. Palmer
Publisher: Cambridge University Press
ISBN: 9780521366380
Category : Mathematics
Languages : en
Pages : 846

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Book Description
This second of two volumes gives a modern exposition of the theory of Banach algebras.

Author: Karl Heinrich Hofmann
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 160

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Author: Neil Hindman
Publisher: Walter de Gruyter
ISBN: 3110258358
Category : Mathematics
Languages : en
Pages : 610

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Book Description
This is the second revised and extended edition of the successful book on the algebraic structure of the Stone-Čech compactification of a discrete semigroup and its combinatorial applications, primarily in the field known as Ramsey Theory. There has been very active research in the subject dealt with by the book in the 12 years which is now included in this edition. This book is a self-contained exposition of the theory of compact right semigroups for discrete semigroups and the algebraic properties of these objects. The methods applied in the book constitute a mosaic of infinite combinatorics, algebra, and topology. The reader will find numerous combinatorial applications of the theory, including the central sets theorem, partition regularity of matrices, multidimensional Ramsey theory, and many more.

Author: Graham R. Allan
Publisher: Oxford University Press
ISBN: 0199206538
Category : Mathematics
Languages : en
Pages : 380

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Book Description
A timely graduate level text in an active field covering functional analysis, with an emphasis on Banach algebras.

Author: Corneliu Constantinescu
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 638

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