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Author: Miguel Cabrera García Publisher: Cambridge University Press ISBN: 1107043069 Category : Mathematics Languages : en Pages : 735
Book Description
The 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 ISBN: 1107043069 Category : Mathematics Languages : en Pages : 735
Book Description
The 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 ISBN: 1139992775 Category : Mathematics Languages : en Pages : 735
Book Description
This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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: Cambridge University Press ISBN: 1108570763 Category : Mathematics Languages : en Pages : 759
Book Description
This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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: ISBN: 9781316004302 Category : MATHEMATICS Languages : en Pages : 736
Book Description
The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.
Author: Miguel Cabrera García Publisher: ISBN: Category : Algebra Languages : en Pages : 0
Book Description
This 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. Miguel Cabrera García is Professor in the Department of Mathematical Analysis at the University of Granada, Spain. Ángel Rodríguez Palacios is Professor in the Department of Mathematical Analysis at the University of Granada, Spain Publisher's note.
Author: Miguel Cabrera García Publisher: Cambridge University Press ISBN: 1107043115 Category : Mathematics Languages : en Pages : 759
Book Description
The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.
Author: Lev Sabinin Publisher: CRC Press ISBN: 9781420003451 Category : Mathematics Languages : en Pages : 552
Book Description
With contributions derived from presentations at an international conference, Non-Associative Algebra and Its Applications explores a wide range of topics focusing on Lie algebras, nonassociative rings and algebras, quasigroups, loops, and related systems as well as applications of nonassociative algebra to geometry, physics, and natural sciences. This book covers material such as Jordan superalgebras, nonassociative deformations, nonassociative generalization of Hopf algebras, the structure of free algebras, derivations of Lie algebras, and the identities of Albert algebra. It also includes applications of smooth quasigroups and loops to differential geometry and relativity.
Author: Mercedes Siles Molina Publisher: Springer Nature ISBN: 3030352560 Category : Mathematics Languages : en Pages : 338
Book Description
This 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
Author: Miguel Cabrera García
Author: Miguel Cabrera García
Author: Miguel Cabrera García
Author: Miguel Cabrera García
Author: Miguel Cabrera García
Author: Miguel Cabrera García
Author: Miguel Cabrera García
Author: Miguel Cabrera García
Author: Lev Sabinin
Author: Mercedes Siles Molina