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Author: Miguel Cabrera García
Publisher: Cambridge University Press
Published: 2018-04-12
Total Pages: 759
ISBN-13: 1107043115
DOWNLOAD EBOOKThe first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.
Author: Miguel Cabrera García
Publisher: Cambridge University Press
Published: 2018-04-12
Total Pages: 759
ISBN-13: 1108570763
DOWNLOAD EBOOKThis first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This second volume revisits JB*-triples, covers Zel'manov's celebrated work in Jordan theory, proves the unit-free variant of the Vidav–Palmer theorem, and develops the representation theory of alternative C*-algebras and non-commutative JB*-algebras. This completes the work begun in the first volume, which introduced these algebras and discussed the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems. This book interweaves pure algebra, geometry of normed spaces, and infinite-dimensional complex analysis. Novel proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, and an extensive bibliography.
Author: Miguel Cabrera García
Publisher: Cambridge University Press
Published: 2014-07-31
Total Pages: 735
ISBN-13: 1139992775
DOWNLOAD EBOOKThis first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB*-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography.
Author: Miguel Cabrera García
Publisher:
Published: 2014
Total Pages: 712
ISBN-13: 9781322066707
DOWNLOAD EBOOKAuthor: Miguel Cabrera García
Publisher: Cambridge University Press
Published: 2014-07-31
Total Pages: 735
ISBN-13: 1107043069
DOWNLOAD EBOOKThe first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.
Author: Mercedes Siles Molina
Publisher: Springer Nature
Published: 2020-01-02
Total Pages: 338
ISBN-13: 3030352560
DOWNLOAD EBOOKThis book gathers together selected contributions presented at the 3rd Moroccan Andalusian Meeting on Algebras and their Applications, held in Chefchaouen, Morocco, April 12-14, 2018, and which reflects the mathematical collaboration between south European and north African countries, mainly France, Spain, Morocco, Tunisia and Senegal. The book is divided in three parts and features contributions from the following fields: algebraic and analytic methods in associative and non-associative structures; homological and categorical methods in algebra; and history of mathematics. Covering topics such as rings and algebras, representation theory, number theory, operator algebras, category theory, group theory and information theory, it opens up new avenues of study for graduate students and young researchers. The findings presented also appeal to anyone interested in the fields of algebra and mathematical analysis.
Author: Miguel Cabrera García
Publisher: Cambridge University Press
Published: 2018-04-12
Total Pages: 760
ISBN-13: 1108631436
DOWNLOAD EBOOKThis first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This second volume revisits JB*-triples, covers Zel'manov's celebrated work in Jordan theory, proves the unit-free variant of the Vidav–Palmer theorem, and develops the representation theory of alternative C*-algebras and non-commutative JB*-algebras. This completes the work begun in the first volume, which introduced these algebras and discussed the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems. This book interweaves pure algebra, geometry of normed spaces, and infinite-dimensional complex analysis. Novel proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, and an extensive bibliography.
Author: Cheikh Thiécoumbe Gueye
Publisher: Springer
Published: 2016-11-21
Total Pages: 254
ISBN-13: 3319329022
DOWNLOAD EBOOKPresenting the collaborations of over thirty international experts in the latest developments in pure and applied mathematics, this volume serves as an anthology of research with a common basis in algebra, functional analysis and their applications. Special attention is devoted to non-commutative algebras, non-associative algebras, operator theory and ring and module theory. These themes are relevant in research and development in coding theory, cryptography and quantum mechanics. The topics in this volume were presented at the Workshop on Non-Associative & Non-Commutative Algebra and Operator Theory, held May 23—25, 2014 at Cheikh Anta Diop University in Dakar, Senegal in honor of Professor Amin Kaidi. The workshop was hosted by the university's Laboratory of Algebra, Cryptology, Algebraic Geometry and Applications, in cooperation with the University of Almería and the University of Málaga. Dr. Kaidi's work focuses on non-associative rings and algebras, operator theory and functional analysis, and he has served as a mentor to a generation of mathematicians in Senegal and around the world.
Author: James C. Robinson
Publisher: Cambridge University Press
Published: 2020-03-12
Total Pages: 421
ISBN-13: 0521899648
DOWNLOAD EBOOKAccessible text covering core functional analysis topics in Hilbert and Banach spaces, with detailed proofs and 200 fully-worked exercises.
