Jordan Structures In Analysis Geometry And Physics
DOWNLOAD
Download Jordan Structures In Analysis Geometry And Physics PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Jordan Structures In Analysis Geometry And Physics book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Jordan Structures In Geometry And Physics
DOWNLOAD
Author : Radu Iordănescu
language : en
Publisher:
Release Date : 2003-12
Jordan Structures In Geometry And Physics written by Radu Iordănescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12 with Geometry, Differential categories.
Jordan Structures In Analysis Geometry And Physics
DOWNLOAD
Author : Radu Iordănescu
language : en
Publisher:
Release Date : 2009
Jordan Structures In Analysis Geometry And Physics written by Radu Iordănescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Geometry, Differential categories.
Geometry Of State Spaces Of Operator Algebras
DOWNLOAD
Author : Erik M. Alfsen
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-12-13
Geometry Of State Spaces Of Operator Algebras written by Erik M. Alfsen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-13 with Mathematics categories.
In this book we give a complete geometric description of state spaces of operator algebras, Jordan as well as associative. That is, we give axiomatic characterizations of those convex sets that are state spaces of C*-algebras and von Neumann algebras, together with such characterizations for the normed Jordan algebras called JB-algebras and JBW-algebras. These non associative algebras generalize C*-algebras and von Neumann algebras re spectively, and the characterization of their state spaces is not only of interest in itself, but is also an important intermediate step towards the characterization of the state spaces of the associative algebras. This book gives a complete and updated presentation of the character ization theorems of [10]' [11] and [71]. Our previous book State spaces of operator algebras: basic theory, orientations and C*-products, referenced as [AS] in the sequel, gives an account of the necessary prerequisites on C*-algebras and von Neumann algebras, as well as a discussion of the key notion of orientations of state spaces. For the convenience of the reader, we have summarized these prerequisites in an appendix which contains all relevant definitions and results (listed as (AI), (A2), ... ), with reference back to [AS] for proofs, so that this book is self-contained.
Jordan Structures In Geometry And Physics
DOWNLOAD
Author : Radu Iordănescu
language : en
Publisher:
Release Date : 2000
Jordan Structures In Geometry And Physics written by Radu Iordănescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Non Associative Normed Algebras
DOWNLOAD
Author : Miguel Cabrera García
language : en
Publisher: Cambridge University Press
Release Date : 2014-07-31
Non Associative Normed Algebras written by Miguel Cabrera García and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-31 with Mathematics categories.
The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.
Nonlinear Elliptic Equations And Nonassociative Algebras
DOWNLOAD
Author : Nikolai Nadirashvili
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-12-03
Nonlinear Elliptic Equations And Nonassociative Algebras written by Nikolai Nadirashvili and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-03 with Mathematics categories.
This book presents applications of noncommutative and nonassociative algebras to constructing unusual (nonclassical and singular) solutions to fully nonlinear elliptic partial differential equations of second order. The methods described in the book are used to solve a longstanding problem of the existence of truly weak, nonsmooth viscosity solutions. Moreover, the authors provide an almost complete description of homogeneous solutions to fully nonlinear elliptic equations. It is shown that even in the very restricted setting of "Hessian equations", depending only on the eigenvalues of the Hessian, these equations admit homogeneous solutions of all orders compatible with known regularity for viscosity solutions provided the space dimension is five or larger. To the contrary, in dimension four or less the situation is completely different, and our results suggest strongly that there are no nonclassical homogeneous solutions at all in dimensions three and four. Thus this book gives a complete list of dimensions where nonclassical homogeneous solutions to fully nonlinear uniformly elliptic equations do exist; this should be compared with the situation of, say, ten years ago when the very existence of nonclassical viscosity solutions was not known.
Structure And Representations Of Jordan Algebras
DOWNLOAD
Author : Nathan Jacobson
language : en
Publisher: American Mathematical Soc.
Release Date : 1968-12-31
Structure And Representations Of Jordan Algebras written by Nathan Jacobson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968-12-31 with Mathematics categories.
The theory of Jordan algebras has played important roles behind the scenes of several areas of mathematics. Jacobson's book has long been the definitive treatment of the subject. It covers foundational material, structure theory, and representation theory for Jordan algebras. Of course, there are immediate connections with Lie algebras, which Jacobson details in Chapter 8. Of particular continuing interest is the discussion of exceptional Jordan algebras, which serve to explain the exceptional Lie algebras and Lie groups. Jordan algebras originally arose in the attempts by Jordan, von Neumann, and Wigner to formulate the foundations of quantum mechanics. They are still useful and important in modern mathematical physics, as well as in Lie theory, geometry, and certain areas of analysis.
Non Associative Structures And Other Related Structures
DOWNLOAD
Author : Florin Felix Nichita
language : en
Publisher: MDPI
Release Date : 2020-06-16
Non Associative Structures And Other Related Structures written by Florin Felix Nichita and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-16 with Mathematics categories.
Leonhard Euler (1707–1783) was born in Basel, Switzerland. Euler's formula is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. When its variable is the number pi, Euler's formula evaluates to Euler's identity. On the other hand, the Yang–Baxter equation is considered the most beautiful equation by many scholars. In this book, we study connections between Euler’s formulas and the Yang–Baxter equation. Other interesting sections include: non-associative algebras with metagroup relations; branching functions for admissible representations of affine Lie Algebras; super-Virasoro algebras; dual numbers; UJLA structures; etc.
Jordan Algebras In Analysis Operator Theory And Quantum Mechanics
DOWNLOAD
Author : Harald Upmeier
language : en
Publisher: American Mathematical Soc.
Release Date : 1987
Jordan Algebras In Analysis Operator Theory And Quantum Mechanics written by Harald Upmeier and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
Jordan algebras have found interesting applications in seemingly unrelated areas of mathematics such as operator theory, the foundations of quantum mechanics, complex analysis in finite and infinite dimensions, and harmonic analysis on homogeneous spaces. This book describes some relevant results and puts them in a general framework.
Analysis And Mathematical Physics
DOWNLOAD
Author : Shaun Bullett
language : en
Publisher: World Scientific
Release Date : 2016-12-22
Analysis And Mathematical Physics written by Shaun Bullett and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-22 with Science categories.
This is a concise reference book on analysis and mathematical physics, leading readers from a foundation to advanced level understanding of the topic. This is the perfect text for graduate or PhD mathematical-science students looking for support in topics such as distributions, Fourier transforms and microlocal analysis, C* Algebras, value distribution of meromorphic functions, noncommutative differential geometry, differential geometry and mathematical physics, mathematical problems of general relativity, and special functions of mathematical physics.Analysis and Mathematical Physics is the sixth volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Edited by the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.