Banach Algebras on Semigroups and on Their Compactifications PDF Download

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

View

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

View

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: Karl H. Hofmann
Publisher: Springer
ISBN: 354036269X
Category : Mathematics
Languages : en
Pages : 155

View

Book Description

Author: Eberhard Kaniuth
Publisher: American Mathematical Soc.
ISBN: 0821853651
Category : Fourier analysis
Languages : en
Pages : 306

View

Book Description
The theory of the Fourier algebra lies at the crossroads of several areas of analysis. Its roots are in locally compact groups and group representations, but it requires a considerable amount of functional analysis, mainly Banach algebras. In recent years it has made a major connection to the subject of operator spaces, to the enrichment of both. In this book two leading experts provide a road map to roughly 50 years of research detailing the role that the Fourier and Fourier-Stieltjes algebras have played in not only helping to better understand the nature of locally compact groups, but also in building bridges between abstract harmonic analysis, Banach algebras, and operator algebras. All of the important topics have been included, which makes this book a comprehensive survey of the field as it currently exists. Since the book is, in part, aimed at graduate students, the authors offer complete and readable proofs of all results. The book will be well received by the community in abstract harmonic analysis and will be particularly useful for doctoral and postdoctoral mathematicians conducting research in this important and vibrant area.

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

View

Book Description

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

View

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 Allan
Publisher: Oxford University Press
ISBN: 0199206538
Category : Mathematics
Languages : en
Pages : 380

View

Book Description
The text begins by giving the basic theory of Banach spaces, in particular discussing dual spaces and bounded linear operators. It establishes forms of the theorems that are the pillars of functional analysis, including the Banach-Alaoglu, Hahn-Banach, uniform boundedness, open mapping, and closed graph theorems. There are applications to Fourier series and to operators on Hilbert spaces. --

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

View

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: Volker Runde
Publisher: American Mathematical Soc.
ISBN: 9780821856987
Category : Banach algebras
Languages : en
Pages : 364

View

Book Description
This proceedings volume is from the international conference on Banach algebras and their applications held at the University of Alberta (Edmonton). It contains a collection of refereed research papers and high-level expository articles that offer a panorama of Banach algebra theory and its manifold applications. Topics in the book range from $K$-theory to abstract harmonic analysis to operator theory. It is suitable for graduate students and researchers interested in Banach algebras.

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

View

Book Description
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.