Author : Y Nakagami
Publisher : World Scientific
Page : 450 pages
File Size : 15,71 MB
Release : 1991-04-29
Category :
ISBN : 981455622X
The topics covered in this proceedings include the C* — dynamical systems, the index theory of subfactors, the noncommutative differential geometry and the quantum groups. This volume presents an overview of the present status of the theory of operator algebras, as well as an outlook for its future development.
Author : Vern Paulsen
Publisher : Cambridge University Press
Page : 316 pages
File Size : 21,24 MB
Release : 2002
Category : Mathematics
ISBN : 9780521816694
In this book, first published in 2003, the reader is provided with a tour of the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, together with some of their main applications. The author assumes only that the reader has a basic background in functional analysis, and the presentation is self-contained and paced appropriately for graduate students new to the subject. Experts will also want this book for their library since the author illustrates the power of methods he has developed with new and simpler proofs of some of the major results in the area, many of which have not appeared earlier in the literature. An indispensable introduction to the theory of operator spaces for all who want to know more.
Author :
Publisher : American Mathematical Soc.
Page : 434 pages
File Size : 30,9 MB
Release : 1994
Category : C*-algebras
ISBN : 0821851756
Author : Gilles Pisier
Publisher : American Mathematical Soc.
Page : 119 pages
File Size : 50,61 MB
Release : 1996
Category : Mathematics
ISBN : 082180474X
In the recently developed duality theory of operator spaces, bounded operators are replaced by 'completely bounded' ones, isomorphism by 'complete isomorphisms' and Banach spaces by 'operator spaces'. This allows for distinguishing between the various ways in which a given Banach space can be embedded isometrically into [italic capital]B([italic capital]H) (with H being Hilbert). One of the main results is the observation that there is a central object in this class: there is a unique self dual Hilbertian operator space (which we denote by [italic capitals]OH) which seems to play the same central role in the category of operator spaces that Hilbert spaces play in the category of Banach spaces.
Author : Gilles Pisier
Publisher : Cambridge University Press
Page : 492 pages
File Size : 32,20 MB
Release : 2003-08-25
Category : Mathematics
ISBN : 9780521811651
An introduction to the theory of operator spaces, emphasising applications to C*-algebras.
Author : Themistocles M. Rassias
Publisher : Springer Science & Business Media
Page : 744 pages
File Size : 36,19 MB
Release : 2011-09-18
Category : Mathematics
ISBN : 1461400554
The stability problem for approximate homomorphisms, or the Ulam stability problem, was posed by S. M. Ulam in the year 1941. The solution of this problem for various classes of equations is an expanding area of research. In particular, the pursuit of solutions to the Hyers-Ulam and Hyers-Ulam-Rassias stability problems for sets of functional equations and ineqalities has led to an outpouring of recent research. This volume, dedicated to S. M. Ulam, presents the most recent results on the solution to Ulam stability problems for various classes of functional equations and inequalities. Comprised of invited contributions from notable researchers and experts, this volume presents several important types of functional equations and inequalities and their applications to problems in mathematical analysis, geometry, physics and applied mathematics. "Functional Equations in Mathematical Analysis" is intended for researchers and students in mathematics, physics, and other computational and applied sciences.
Author : Yeol Je Cho
Publisher : Springer
Page : 353 pages
File Size : 35,72 MB
Release : 2015-06-26
Category : Mathematics
ISBN : 3319187082
Some of the most recent and significant results on homomorphisms and derivations in Banach algebras, quasi-Banach algebras, C*-algebras, C*-ternary algebras, non-Archimedean Banach algebras and multi-normed algebras are presented in this book. A brief introduction for functional equations and their stability is provided with historical remarks. Since the homomorphisms and derivations in Banach algebras are additive and R-linear or C-linear, the stability problems for additive functional equations and additive mappings are studied in detail. The latest results are discussed and examined in stability theory for new functional equations and functional inequalities in Banach algebras and C*-algebras, non-Archimedean Banach algebras, non-Archimedean C*-algebras, multi-Banach algebras and multi-C*-algebras. Graduate students with an understanding of operator theory, functional analysis, functional equations and analytic inequalities will find this book useful for furthering their understanding and discovering the latest results in mathematical analysis. Moreover, research mathematicians, physicists and engineers will benefit from the variety of old and new results, as well as theories and methods presented in this book.
Author : Bingren Li
Publisher : Springer Science & Business Media
Page : 391 pages
File Size : 18,62 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 9400901852
Functional Analysis has become one of the main branches in Chinese mathematics. Many outstanding contributions and results have been achieved over the past sixty years. This authoritative collection is complementary to Western studies in this field, and seeks to summarise and introduce the historical progress of the development of Functional Analysis in China from the 1940s to the present. A broad range of topics is covered, such as nonlinear functional analysis, linear operator theory, theory of operator algebras, applications including the solvability of some partial differential equations, and special spaces that contain Banach spaces and topological vector spaces. Some of these papers have made a significant impact on the mathematical community worldwide. Audience: This volume will be of interest to mathematicians, physicists and engineers at postgraduate level.
Author :
Publisher :
Page : 598 pages
File Size : 14,21 MB
Release : 1992
Category : Malaysian literature (English)
ISBN :
Author : Daniel Kastler
Publisher :
Page : 490 pages
File Size : 11,76 MB
Release : 1999
Category : Mathematics
ISBN :
Contents include: Hochschild Homology of Function Algebras Associated with Singularities; On the KK-Theory of Stable Projective Limits; Noncommutative Integrability; Gauge Invariance of the Chern-Simons Action in Noncommutative Geometry; The Analysis of the Hochshild Homology; Coproducts and Operations on Cyclic Cohomology; Powers of Quantum Matrices and Relations Between Them; Introductory Notes on Extensions of Hopf Algebras; Hopf Algebras from the Quantum Geometry Point of View; Equation Pentagonale, Bige bres et Espaces de Modules; Chiral Anomalies in the Spectral Action; Standard Model and Unimodularity Condition; On Feynman Graphs as Elements of a Hopf Algebra.
