Real Function Algebras

Author : S.H. Kulkarni,B.V. Limaye
Publisher : CRC Press
Page : 204 pages
File Size : 40,8 Mb
Release : 2020-08-27
Category : Mathematics
ISBN : 9781000148848

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Real Function Algebras by S.H. Kulkarni,B.V. Limaye Pdf

This self-contained reference/text presents a thorough account of the theory of real function algebras. Employing the intrinsic approach, avoiding the complexification technique, and generalizing the theory of complex function algebras, this single-source volume includes: an introduction to real Banach algebras; various generalizations of the Stone-Weierstrass theorem; Gleason parts; Choquet and Shilov boundaries; isometries of real function algebras; extensive references; and a detailed bibliography.;Real Function Algebras offers results of independent interest such as: topological conditions for the commutativity of a real or complex Banach algebra; Ransford's short elementary proof of the Bishop-Stone-Weierstrass theorem; the implication of the analyticity or antianalyticity of f from the harmonicity of Re f, Re f(2), Re f(3), and Re f(4); and the positivity of the real part of a linear functional on a subspace of C(X).;With over 600 display equations, this reference is for mathematical analysts; pure, applied, and industrial mathematicians; and theoretical physicists; and a text for courses in Banach algebras and function algebras.

Author : Andrew Browder
Publisher : Unknown
Page : 294 pages
File Size : 41,7 Mb
Release : 1969
Category : Algebraic functions
ISBN : UOM:39015015691762

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Introduction to Function Algebras by Andrew Browder Pdf

Author : Dietlinde Lau
Publisher : Springer Science & Business Media
Page : 668 pages
File Size : 54,9 Mb
Release : 2006-11-23
Category : Mathematics
ISBN : 9783540360230

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Function Algebras on Finite Sets by Dietlinde Lau Pdf

Function Algebras on Finite Sets gives a broad introduction to the subject, leading up to the cutting edge of research. The general concepts of the Universal Algebra are given in the first part of the book, to familiarize the reader from the very beginning on with the algebraic side of function algebras. The second part covers the following topics: Galois-connection between function algebras and relation algebras, completeness criterions, and clone theory.

Author : T.V. Tonev
Publisher : Elsevier
Page : 293 pages
File Size : 47,8 Mb
Release : 1992-03-02
Category : Mathematics
ISBN : 0080872832

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Big-Planes, Boundaries and Function Algebras by T.V. Tonev Pdf

Treated in this volume are selected topics in analytic &Ggr;-almost-periodic functions and their representations as &Ggr;-analytic functions in the big-plane; n-tuple Shilov boundaries of function spaces, minimal norm principle for vector-valued functions and their applications in the study of vector-valued functions and n-tuple polynomial and rational hulls. Applications to the problem of existence of n-dimensional complex analytic structures, analytic &Ggr;-almost-periodic structures and structures of &Ggr;-analytic big-manifolds respectively in commutative Banach algebra spectra are also discussed.

Author : Ion Suciu
Publisher : Unknown
Page : 274 pages
File Size : 52,5 Mb
Release : 1973
Category : Function algebras
ISBN : OCLC:633925895

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Function Algebras by Ion Suciu Pdf

Author : Leonid I. Korogodski,Yan S. Soibelman
Publisher : American Mathematical Soc.
Page : 162 pages
File Size : 40,7 Mb
Release : 1998
Category : Mathematics
ISBN : 9780821803363

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Algebras of Functions on Quantum Groups: Part I by Leonid I. Korogodski,Yan S. Soibelman Pdf

The text is devoted to the study of algebras of functions on quantum groups. The book includes the theory of Poisson-Lie algebras (quasi-classical version of algebras of functions on quantum groups), a description of representations of algebras of functions and the theory of quantum Weyl groups. It can serve as a text for an introduction to the theory of quantum groups and is intended for graduate students and research mathematicians working in algebra, representation theory and mathematical physics.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 51,6 Mb
Release : 1972
Category : Electronic
ISBN : 9991267816

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Recent Results on Function Algebras by Anonim Pdf

Author : K. Barbey,H. König
Publisher : Springer
Page : 268 pages
File Size : 42,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540373506

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Abstract Analytic Function Theory and Hardy Algebras by K. Barbey,H. König Pdf

Author : Charles E. Rickart
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 48,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461380702

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Natural Function Algebras by Charles E. Rickart Pdf

The term "function algebra" usually refers to a uniformly closed algebra of complex valued continuous functions on a compact Hausdorff space. Such Banach alge bras, which are also called "uniform algebras", have been much studied during the past 15 or 20 years. Since the most important examples of uniform algebras consist of, or are built up from, analytic functions, it is not surprising that most of the work has been dominated by questions of analyticity in one form or another. In fact, the study of these special algebras and their generalizations accounts for the bulk of the re search on function algebras. We are concerned here, however, with another facet of the subject based on the observation that very general algebras of continuous func tions tend to exhibit certain properties that are strongly reminiscent of analyticity. Although there exist a variety of well-known properties of this kind that could be mentioned, in many ways the most striking is a local maximum modulus principle proved in 1960 by Hugo Rossi [RIl]. This result, one of the deepest and most elegant in the theory of function algebras, is an essential tool in the theory as we have developed it here. It holds for an arbitrary Banaeh algebra of £unctions defined on the spectrum (maximal ideal space) of the algebra. These are the algebras, along with appropriate generalizations to algebras defined on noncompact spaces, that we call "natural func tion algebras".

Author : Harold Garth Dales
Publisher : Springer Nature
Page : 452 pages
File Size : 51,8 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9783031445323

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Banach Function Algebras, Arens Regularity, and BSE Norms by Harold Garth Dales Pdf

Author : Frank F. Bonsall,John Duncan
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642656699

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Complete Normed Algebras by Frank F. Bonsall,John Duncan Pdf

The axioms of a complex Banach algebra were very happily chosen. They are simple enough to allow wide ranging fields of application, notably in harmonic analysis, operator theory and function algebras. At the same time they are tight enough to allow the development of a rich collection of results, mainly through the interplay of the elementary parts of the theories of analytic functions, rings, and Banach spaces. Many of the theorems are things of great beauty, simple in statement, surprising in content, and elegant in proof. We believe that some of them deserve to be known by every mathematician. The aim of this book is to give an account of the principal methods and results in the theory of Banach algebras, both commutative and non commutative. It has been necessary to apply certain exclusion principles in order to keep our task within bounds. Certain classes of concrete Banach algebras have a very rich literature, namely C*-algebras, function algebras, and group algebras. We have regarded these highly developed theories as falling outside our scope. We have not entirely avoided them, but have been concerned with their place in the general theory, and have stopped short of developing their special properties. For reasons of space and time we have omitted certain other topics which would quite naturally have been included, in particular the theories of multipliers and of extensions of Banach algebras, and the implications for Banach algebras of some of the standard algebraic conditions on rings.

Author : Freddy Van Oystaeyen
Publisher : CRC Press
Page : 302 pages
File Size : 51,5 Mb
Release : 2000-06-06
Category : Mathematics
ISBN : 9781482270525

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Algebraic Geometry for Associative Algebras by Freddy Van Oystaeyen Pdf

This work focuses on the association of methods from topology, category and sheaf theory, algebraic geometry, noncommutative and homological algebras, quantum groups and spaces, rings of differential operation, Cech and sheaf cohomology theories, and dimension theories to create a blend of noncommutative algebraic geometry. It offers a scheme theor

Author : I. Suciu
Publisher : Springer
Page : 290 pages
File Size : 50,5 Mb
Release : 1975-06-24
Category : Mathematics
ISBN : UCAL:B4406547

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Function Algebras by I. Suciu Pdf

Under the title of Function Algebras we may now include a very large number of works. published mainly in the last decade, which consti tute one of the important chapters of functional analysis. This chapter has grown up from various problems. permanently furnished to mathe matics. by the theory of functions. using modern methods of algebra, topology and functional analysis and presenting large possibilities of applications in operators theory. Herefrom proceeds its living character, the variety of obtained results. the variety of forms and contexts in which these results can be found. This also explains the difficulty of an exhaustive exposition of these problems. The purpose of the monograph is to present a coherent exposition of the fundamental results of this theory with an orientation to their applicability to the theory of operator representations of function alge bras. The idea of such a work appeared during the seminaries on function algebras held at the Mathematical Institute in Bucharest. under the direc tion of C. Foia~ and at the Faculty of Mathematics and Mechanics under the direction of N. Boboc. It is a pleasure for the author to express his gratitude to C. Foia~ for assistance in his efforts. in general. and for the large contribution the discussions and cooperation with him had brought in the elaboration of this monograph. I also would like to thank N. Boboc for the clear discussions we have had during the seminaries and the elaboration of some chapters.

Author : I. Suciu
Publisher : Springer
Page : 0 pages
File Size : 55,5 Mb
Release : 1975-06-15
Category : Mathematics
ISBN : 9401019126

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Function Algebras by I. Suciu Pdf

Under the title of Function Algebras we may now include a very large number of works. published mainly in the last decade, which consti tute one of the important chapters of functional analysis. This chapter has grown up from various problems. permanently furnished to mathe matics. by the theory of functions. using modern methods of algebra, topology and functional analysis and presenting large possibilities of applications in operators theory. Herefrom proceeds its living character, the variety of obtained results. the variety of forms and contexts in which these results can be found. This also explains the difficulty of an exhaustive exposition of these problems. The purpose of the monograph is to present a coherent exposition of the fundamental results of this theory with an orientation to their applicability to the theory of operator representations of function alge bras. The idea of such a work appeared during the seminaries on function algebras held at the Mathematical Institute in Bucharest. under the direc tion of C. Foia~ and at the Faculty of Mathematics and Mechanics under the direction of N. Boboc. It is a pleasure for the author to express his gratitude to C. Foia~ for assistance in his efforts. in general. and for the large contribution the discussions and cooperation with him had brought in the elaboration of this monograph. I also would like to thank N. Boboc for the clear discussions we have had during the seminaries and the elaboration of some chapters.

Author : Krzysztof Jarov
Publisher : CRC Press
Page : 450 pages
File Size : 49,6 Mb
Release : 2020-08-27
Category : Mathematics
ISBN : 9781000147933

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Function Spaces by Krzysztof Jarov Pdf

This book is based on the conference on Function Spaces held at Southern Illinois University at Edwardsville, in April, 1990. It is designed to cover a wide range of topics, including spaces of analytic functions, isometries of function spaces, geometry of Banach spaces, and Banach algebras.