Banach Algebras On Semigroups And On Their Compactifications
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Banach Algebras on Semigroups and on Their Compactifications
Author | : Harold G. Dales,Anthony To-Ming Lau,Dona Strauss |
Publsiher | : American Mathematical Soc. |
Total Pages | : 178 |
Release | : 2010 |
Genre | : Banach algebras |
ISBN | : 9780821847756 |
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"Volume 205, number 966 (end of volume)."
Continuous Semigroups in Banach Algebras
Author | : Allan M. Sinclair |
Publsiher | : Cambridge University Press |
Total Pages | : 153 |
Release | : 1982-06-17 |
Genre | : Mathematics |
ISBN | : 9780521285988 |
Download Continuous Semigroups in Banach Algebras Book in PDF, Epub and Kindle
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.
Banach Function Algebras Arens Regularity and BSE Norms
Author | : Harold Garth Dales |
Publsiher | : Springer Nature |
Total Pages | : 452 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 9783031445323 |
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Algebra in the Stone Cech Compactification
Author | : Neil Hindman,Dona Strauss |
Publsiher | : Walter de Gruyter |
Total Pages | : 610 |
Release | : 2011-12-23 |
Genre | : Mathematics |
ISBN | : 9783110258356 |
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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.
Introduction to Banach Spaces and Algebras
Author | : Graham Allan,Graham R. Allan,Harold G. Dales |
Publsiher | : Oxford University Press |
Total Pages | : 380 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 9780199206537 |
Download Introduction to Banach Spaces and Algebras Book in PDF, Epub and Kindle
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. --
The Duality of Compact Semigroups and C Bigebras
Author | : Karl H. Hofmann |
Publsiher | : Springer |
Total Pages | : 155 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 9783540362692 |
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Amenable Banach Algebras
Author | : Volker Runde |
Publsiher | : Springer Nature |
Total Pages | : 468 |
Release | : 2020-03-03 |
Genre | : Mathematics |
ISBN | : 9781071603512 |
Download Amenable Banach Algebras Book in PDF, Epub and Kindle
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.
Semicrossed Products of Operator Algebras by Semigroups
Author | : Kenneth R. Davidson,Adam Fuller,Evgenios T. A. Kakariadis |
Publsiher | : American Mathematical Soc. |
Total Pages | : 97 |
Release | : 2017-04-25 |
Genre | : Operator algebras |
ISBN | : 9781470423094 |
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The authors examine the semicrossed products of a semigroup action by -endomorphisms on a C*-algebra, or more generally of an action on an arbitrary operator algebra by completely contractive endomorphisms. The choice of allowable representations affects the corresponding universal algebra. The authors seek quite general conditions which will allow them to show that the C*-envelope of the semicrossed product is (a full corner of) a crossed product of an auxiliary C*-algebra by a group action. Their analysis concerns a case-by-case dilation theory on covariant pairs. In the process we determine the C*-envelope for various semicrossed products of (possibly nonselfadjoint) operator algebras by spanning cones and lattice-ordered abelian semigroups.