Jordan Algebras in Analysis, Operator Theory, and Quantum Mechanics

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Publisher : American Mathematical Soc.
ISBN 13 : 082180717X
Total Pages : 95 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Jordan Algebras in Analysis, Operator Theory, and Quantum Mechanics by : Harald Upmeier

Download or read book Jordan Algebras in Analysis, Operator Theory, and Quantum Mechanics written by Harald Upmeier and published by American Mathematical Soc.. This book was released on 1987 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Jordan Algebras in Analysis, Operator Theory, and Quantum Mechanics

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821889121
Total Pages : 100 pages
Book Rating : 4.8/5 (891 download)

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Book Synopsis Jordan Algebras in Analysis, Operator Theory, and Quantum Mechanics by : Harald Upmeier

Download or read book Jordan Algebras in Analysis, Operator Theory, and Quantum Mechanics written by Harald Upmeier and published by American Mathematical Soc.. This book was released on 1987-01-01 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Operators for Quantum Mechanics

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Publisher : Courier Corporation
ISBN 13 : 0486140547
Total Pages : 162 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Linear Operators for Quantum Mechanics by : Thomas F. Jordan

Download or read book Linear Operators for Quantum Mechanics written by Thomas F. Jordan and published by Courier Corporation. This book was released on 2012-09-20 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduates and graduate students, this compact treatment examines linear space, functionals, and operators; diagonalizing operators; operator algebras; and equations of motion. 1969 edition.

Jordan Algebras

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Publisher : Walter de Gruyter
ISBN 13 : 3110878119
Total Pages : 353 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Jordan Algebras by : Wilhelm Kaup

Download or read book Jordan Algebras written by Wilhelm Kaup and published by Walter de Gruyter. This book was released on 2011-05-02 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Geometric Analysis and Function Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 082180734X
Total Pages : 216 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Geometric Analysis and Function Spaces by : Steven George Krantz

Download or read book Geometric Analysis and Function Spaces written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 1993 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings into focus the synergistic interaction between analysis and geometry by examining a variety of topics in function theory, real analysis, harmonic analysis, several complex variables, and group actions. Krantz's approach is motivated by examples, both classical and modern, which highlight the symbiotic relationship between analysis and geometry. Creating a synthesis among a host of different topics, this book is useful to researchers in geometry and analysis and may be of interest to physicists, astronomers, and engineers in certain areas. The book is based on lectures presented at an NSF-CBMS Regional Conference held in May 1992.

Index Theory, Coarse Geometry, and Topology of Manifolds

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Publisher : American Mathematical Soc.
ISBN 13 : 0821804138
Total Pages : 114 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Index Theory, Coarse Geometry, and Topology of Manifolds by : John Roe

Download or read book Index Theory, Coarse Geometry, and Topology of Manifolds written by John Roe and published by American Mathematical Soc.. This book was released on 1996 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lecture notes from the conference held Aug. 1995 in Boulder, Colo.

Toeplitz Operators and Index Theory in Several Complex Variables

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Publisher : Birkhäuser
ISBN 13 : 3034892462
Total Pages : 495 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Toeplitz Operators and Index Theory in Several Complex Variables by : Harald Upmeier

Download or read book Toeplitz Operators and Index Theory in Several Complex Variables written by Harald Upmeier and published by Birkhäuser. This book was released on 2012-12-06 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: 4. 1 Bergman-Toeplitz Operators Over Bounded Domains 242 4. 2 Hardy-Toeplitz Operators Over Strictly Domains Pseudoconvex 250 Groupoid C* -Algebras 4. 3 256 4. 4 Hardy-Toeplitz Operators Over Tubular Domains 267 4. 5 Bergman-Toeplitz Operators Over Tubular Domains 278 4. 6 Hardy-Toeplitz Operators Over Polycircular Domains 284 4. 7 Bergman-Toeplitz Operators Over Polycircular Domains 290 4. 8 Hopf C* -Algebras 299 4. 9 Actions and Coactions on C* -Algebras 310 4. 10 Hardy-Toeplitz Operators Over K-circular Domains 316 4. 11 Hardy-Toeplitz Operators Over Symmetric Domains 325 4. 12 Bergman-Toeplitz Operators Over Symmetric Domains 361 5. Index Theory for Multivariable Toeplitz Operators 5. 0 Introduction 371 5. 1 K-Theory for Topological Spaces 372 5. 2 Index Theory for Strictly Pseudoconvex Domains 384 5. 3 C*-Algebras K-Theory for 394 5. 4 Index Theory for Symmetric Domains 400 5. 5 Index Theory for Tubular Domains 432 5. 6 Index Theory for Polycircular Domains 455 References 462 Index of Symbols and Notations 471 In trod uction Toeplitz operators on the classical Hardy space (on the I-torus) and the closely related Wiener-Hopf operators (on the half-line) form a central part of operator theory, with many applications e. g. , to function theory on the unit disk and to the theory of integral equations.

Topology, $C^*$-Algebras, and String Duality

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Publisher : American Mathematical Soc.
ISBN 13 : 0821849220
Total Pages : 122 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Topology, $C^*$-Algebras, and String Duality by : Jonathan R_osenberg

Download or read book Topology, $C^*$-Algebras, and String Duality written by Jonathan R_osenberg and published by American Mathematical Soc.. This book was released on 2009-10-27 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: String theory is the leading candidate for a physical theory that combines all the fundamental forces of nature, as well as the principles of relativity and quantum mechanics, into a mathematically elegant whole. The mathematical tools used by string theorists are highly sophisticated, and cover many areas of mathematics. As with the birth of quantum theory in the early 20th century, the mathematics has benefited at least as much as the physics from the collaboration. In this book, based on CBMS lectures given at Texas Christian University, Rosenberg describes some of the most recent interplay between string dualities and topology and operator algebras. The book is an interdisciplinary approach to duality symmetries in string theory. It can be read by either mathematicians or theoretical physicists, and involves a more-or-less equal mixture of algebraic topology, operator algebras, and physics. There is also a bit of algebraic geometry, especially in the last chapter. The reader is assumed to be somewhat familiar with at least one of these four subjects, but not necessarily with all or even most of them. The main objective of the book is to show how several seemingly disparate subjects are closely linked with one another, and to give readers an overview of some areas of current research, even if this means that not everything is covered systematically.

Lectures on Division Algebras

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Publisher : American Mathematical Soc.
ISBN 13 : 0821809792
Total Pages : 130 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on Division Algebras by : David J. Saltman

Download or read book Lectures on Division Algebras written by David J. Saltman and published by American Mathematical Soc.. This book was released on 1999 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on lectures on division algebras given at a conference held at Colorado State University. Although division algebras are a very classical object, this book presents this ""classical"" material in a new way, highlighting current approaches and new theorems, and illuminating the connections with a variety of areas in mathematics.

Introduction to Intersection Theory in Algebraic Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821807048
Total Pages : 98 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Introduction to Intersection Theory in Algebraic Geometry by : William Fulton

Download or read book Introduction to Intersection Theory in Algebraic Geometry written by William Fulton and published by American Mathematical Soc.. This book was released on 1984 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces some of the main ideas of modern intersection theory, traces their origins in classical geometry and sketches a few typical applications. Suitable for graduate students in mathematics, this book describes the construction and computation of intersection products by means of the geometry of normal cones.

Banach Spaces of Analytic Functions and Absolutely Summing Operators

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Publisher : American Mathematical Soc.
ISBN 13 : 0821816802
Total Pages : 98 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Banach Spaces of Analytic Functions and Absolutely Summing Operators by : Aleksander Pełczyński

Download or read book Banach Spaces of Analytic Functions and Absolutely Summing Operators written by Aleksander Pełczyński and published by American Mathematical Soc.. This book was released on 1977-12-31 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys results concerning bases and various approximation properties in the classical spaces of analytical functions. It contains extensive bibliographical comments.

Dynamics in Several Complex Variables

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Publisher : American Mathematical Soc.
ISBN 13 : 0821803174
Total Pages : 71 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Dynamics in Several Complex Variables by : John Erik Fornæss

Download or read book Dynamics in Several Complex Variables written by John Erik Fornæss and published by American Mathematical Soc.. This book was released on 1996 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: This CBMS lecture series, held in Albany, New York in June 1994 aimed to introduce the audience to the literature on complex dynamics in higher dimension. Some of the lectures are updated versions of earlier lectures given jointly with Nessim Sibony in Montreal 1993. the authro's intent in this book is to give an expansion of the Montreal lectures, basing complex dynamics in higher dimension systematically on pluripotential theory.

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

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Publisher : Cambridge University Press
ISBN 13 : 1139992775
Total Pages : 735 pages
Book Rating : 4.1/5 (399 download)

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Book Synopsis Non-Associative Normed Algebras: Volume 1, The Vidav–Palmer and Gelfand–Naimark Theorems by : Miguel Cabrera García

Download or read book Non-Associative Normed Algebras: Volume 1, The Vidav–Palmer and Gelfand–Naimark Theorems written by Miguel Cabrera García and published by Cambridge University Press. This book was released on 2014-07-31 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Equivariant Homotopy and Cohomology Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821803190
Total Pages : 384 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Equivariant Homotopy and Cohomology Theory by : J. Peter May

Download or read book Equivariant Homotopy and Cohomology Theory written by J. Peter May and published by American Mathematical Soc.. This book was released on 1996 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume introduces equivariant homotopy, homology, and cohomology theory, along with various related topics in modern algebraic topology. It explains the main ideas behind some of the most striking recent advances in the subject. The works begins with a development of the equivariant algebraic topology of spaces culminating in a discussion of the Sullivan conjecture that emphasizes its relationship with classical Smith theory. The book then introduces equivariant stable homotopy theory, the equivariant stable homotopy category, and the most important examples of equivariant cohomology theories. The basic machinery that is needed to make serious use of equivariant stable homotopy theory is presented next, along with discussions of the Segal conjecture and generalized Tate cohomology. Finally, the book gives an introduction to "brave new algebra", the study of point-set level algebraic structures on spectra and its equivariant applications. Emphasis is placed on equivariant complex cobordism, and related results on that topic are presented in detail.

Topics in the Homological Theory of Modules Over Commutative Rings

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Publisher : American Mathematical Soc.
ISBN 13 : 0821816748
Total Pages : 86 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Topics in the Homological Theory of Modules Over Commutative Rings by : Melvin Hochster

Download or read book Topics in the Homological Theory of Modules Over Commutative Rings written by Melvin Hochster and published by American Mathematical Soc.. This book was released on 1975 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains expository lectures from the CBMS Regional Conference in Mathematics held at the University of Nebraska, June 1974. This book deals mainly with developments and still open questions in the homological theory of modules over commutative (usually, Noetherian) rings.

Introduction to Some Methods of Algebraic $K$-Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821816705
Total Pages : 78 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Introduction to Some Methods of Algebraic $K$-Theory by : Hyman Bass

Download or read book Introduction to Some Methods of Algebraic $K$-Theory written by Hyman Bass and published by American Mathematical Soc.. This book was released on 1974-12-31 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euler Products and Eisenstein Series

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Publisher : American Mathematical Soc.
ISBN 13 : 0821805746
Total Pages : 282 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Euler Products and Eisenstein Series by : Gorō Shimura

Download or read book Euler Products and Eisenstein Series written by Gorō Shimura and published by American Mathematical Soc.. This book was released on 1997 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume has three chief objectives: 1) the determination of local Euler factors on classical groups in an explicit rational form; 2) Euler products and Eisenstein series on a unitary group of an arbitrary signature; and 3) a class number formula for a totally definite hermitian form. Though these are new results that have never before been published, Shimura starts with a quite general setting. He includes many topics of an expository nature so that the book can be viewed as an introduction to the theory of automorphic forms of several variables, Hecke theory in particular. Eventually, the exposition is specialized to unitary groups, but they are treated as a model case so that the reader can easily formulate the corresponding facts for other groups. There are various facts on algebraic groups and their localizations that are standard but were proved in some old papers or just called well-known. In this book, the reader will find the proofs of many of them, as well as systematic expositions of the topics. This is the first book in which the Hecke theory of a general (nonsplit) classical group is treated. The book is practically self-contained, except that familiarity with algebraic number theory is assumed.