Non-Associative Normed Algebras : Volume 2, Representation Theory and the Zel'manov Approach

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Release : 2018-04-12
Genre : Mathematics
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Book Rating : 436/5 ( reviews)

Non-Associative Normed Algebras : Volume 2, Representation Theory and the Zel'manov Approach - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Associative Normed Algebras : Volume 2, Representation Theory and the Zel'manov Approach write by Miguel Cabrera García. This book was released on 2018-04-12. Non-Associative Normed Algebras : Volume 2, Representation Theory and the Zel'manov Approach available in PDF, EPUB and Kindle. 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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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.

Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents

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Release : 2017-11-02
Genre : Mathematics
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Book Rating : 431/5 ( reviews)

Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents write by Kevin Broughan. This book was released on 2017-11-02. Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents available in PDF, EPUB and Kindle. The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, supplementary computational tools, and open problems suitable for research. Accompanying software is free to download. These books will interest mathematicians who wish to update their knowledge, graduate and senior undergraduate students seeking accessible research problems in number theory, and others who want to explore and extend results computationally. Each volume can be read independently. Volume 1 presents classical and modern arithmetic equivalents to RH, with some analytic methods. Volume 2 covers equivalences with a strong analytic orientation, supported by an extensive set of appendices containing fully developed proofs.

Non-Associative Normed Algebras: Volume 1, the Vidav Palmer and Gelfand Naimark Theorems

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Release : 2014-09-11
Genre : MATHEMATICS
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Book Rating : 302/5 ( reviews)

Non-Associative Normed Algebras: Volume 1, the Vidav Palmer and Gelfand Naimark Theorems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Associative Normed Algebras: Volume 1, the Vidav Palmer and Gelfand Naimark Theorems write by Miguel Cabrera García. This book was released on 2014-09-11. Non-Associative Normed Algebras: Volume 1, the Vidav Palmer and Gelfand Naimark Theorems available in PDF, EPUB and Kindle. The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.

Algebra and Applications 1

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Release : 2021-05-11
Genre : Mathematics
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Book Rating : 179/5 ( reviews)

Algebra and Applications 1 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebra and Applications 1 write by Abdenacer Makhlouf. This book was released on 2021-05-11. Algebra and Applications 1 available in PDF, EPUB and Kindle. This book is part of Algebra and Geometry, a subject within the SCIENCES collection published by ISTE and Wiley, and the first of three volumes specifically focusing on algebra and its applications. Algebra and Applications 1 centers on non-associative algebras and includes an introduction to derived categories. The chapters are written by recognized experts in the field, providing insight into new trends, as well as a comprehensive introduction to the theory. The book incorporates self-contained surveys with the main results, applications and perspectives. The chapters in this volume cover a wide variety of algebraic structures and their related topics. Jordan superalgebras, Lie algebras, composition algebras, graded division algebras, non-associative C*- algebras, H*-algebras, Krichever-Novikov type algebras, preLie algebras and related structures, geometric structures on 3-Lie algebras and derived categories are all explored. Algebra and Applications 1 is of great interest to graduate students and researchers. Each chapter combines some of the features of both a graduate level textbook and of research level surveys.

Jordan Structures in Lie Algebras

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Release : 2019-08-19
Genre : Mathematics
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Book Rating : 860/5 ( reviews)

Jordan Structures in Lie Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Jordan Structures in Lie Algebras write by Antonio Fernández López. This book was released on 2019-08-19. Jordan Structures in Lie Algebras available in PDF, EPUB and Kindle. Explores applications of Jordan theory to the theory of Lie algebras. After presenting the general theory of nonassociative algebras and of Lie algebras, the book then explains how properties of the Jordan algebra attached to a Jordan element of a Lie algebra can be used to reveal properties of the Lie algebra itself.