Separate and Joint Continuity of Multiplicative Functions Defined on Topological Groups
Author : Jiling Cao
Publisher :
Page : 3 pages
File Size : 22,98 MB
Release : 2000
Category : Topological groups
ISBN :
Author : Jiling Cao
Publisher :
Page : 3 pages
File Size : 22,98 MB
Release : 2000
Category : Topological groups
ISBN :
Author : Jiling Cao
Publisher : CRC Press
Page : 170 pages
File Size : 13,32 MB
Release : 2024-07-09
Category : Mathematics
ISBN : 1040043046
Separate and Joint Continuity presents and summarises the main ideas and theorems that have been developed on this topic, which lies at the interface between General Topology and Functional Analysis (and the geometry of Banach spaces in particular). The book offers detailed, self-contained proofs of many of the key results. Although the development of this area has now slowed to a point where an authoritative book can be written, many important and significant problems remain open, and it is hoped that this book may serve as a springboard for future and emerging researchers into this area. Furthermore, it is the strong belief of the authors that this area of research is ripe for exploitation. That is to say, it is their belief that many of the results contained in this monograph can, and should be, applied to other areas of mathematics. It is hoped that this monograph may provide an easily accessible entry point to the main results on separate and joint continuity for mathematicians who are not directly working in this field, but who may be able to exploit some of the deep results that have been developed over the past 125 years. Features Provides detailed, self-contained proofs of many of the key results in the area Suitable for researchers and postgraduates in topology and functional analysis Is the first book to offer a detailed and up-to-date summary of the main ideas and theorems on this topic
Author : Eli Glasner
Publisher : American Mathematical Soc.
Page : 402 pages
File Size : 35,98 MB
Release : 2015-01-09
Category : Mathematics
ISBN : 1470419513
This book introduces modern ergodic theory. It emphasizes a new approach that relies on the technique of joining two (or more) dynamical systems. This approach has proved to be fruitful in many recent works, and this is the first time that the entire theory is presented from a joining perspective. Another new feature of the book is the presentation of basic definitions of ergodic theory in terms of the Koopman unitary representation associated with a dynamical system and the invariant mean on matrix coefficients, which exists for any acting groups, amenable or not. Accordingly, the first part of the book treats the ergodic theory for an action of an arbitrary countable group. The second part, which deals with entropy theory, is confined (for the sake of simplicity) to the classical case of a single measure-preserving transformation on a Lebesgue probability space.
Author : J. M.G. Fell
Publisher : Academic Press
Page : 755 pages
File Size : 23,88 MB
Release : 1988-05-01
Category : Mathematics
ISBN : 0080874452
This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowledge in algebra, topology, and abstract measure theory). In the later chapters the reader is brought to the frontiers of present-day knowledge in the area of Mackey normal subgroup analysisand its generalization to the context of Banach *-Algebraic Bundles.
Author :
Publisher :
Page : 574 pages
File Size : 21,72 MB
Release : 1980
Category : Mathematics
ISBN :
Author :
Publisher :
Page : 1260 pages
File Size : 17,80 MB
Release : 1980
Category : Mathematics
ISBN :
Author :
Publisher :
Page : 1084 pages
File Size : 47,53 MB
Release : 2005
Category : Mathematics
ISBN :
Author : C. T. J. Dodson
Publisher : Springer Science & Business Media
Page : 428 pages
File Size : 41,8 MB
Release : 1997-01-31
Category : Mathematics
ISBN : 9780792342939
This book arose from courses taught by the authors, and is designed for both instructional and reference use during and after a first course in algebraic topology. It is a handbook for users who want to calculate, but whose main interests are in applications using the current literature, rather than in developing the theory. Typical areas of applications are differential geometry and theoretical physics. We start gently, with numerous pictures to illustrate the fundamental ideas and constructions in homotopy theory that are needed in later chapters. We show how to calculate homotopy groups, homology groups and cohomology rings of most of the major theories, exact homotopy sequences of fibrations, some important spectral sequences, and all the obstructions that we can compute from these. Our approach is to mix illustrative examples with those proofs that actually develop transferable calculational aids. We give extensive appendices with notes on background material, extensive tables of data, and a thorough index. Audience: Graduate students and professionals in mathematics and physics.
Author : Taqdir Husain
Publisher : Courier Dover Publications
Page : 241 pages
File Size : 35,91 MB
Release : 2018-02-15
Category : Mathematics
ISBN : 0486819191
Concise treatment covers semitopological groups, locally compact groups, Harr measure, and duality theory and some of its applications. The volume concludes with a chapter that introduces Banach algebras. 1966 edition.
Author : American Mathematical Society
Publisher :
Page : 520 pages
File Size : 45,9 MB
Release : 1962
Category : Electronic journals
ISBN :
Contains the material formerly published in even-numbered issues of the Bulletin of the American Mathematical Society.