Lectures on Selected Topics in Von Neumann Algebras

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Publisher :
ISBN 13 : 9783985470044
Total Pages : pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Lectures on Selected Topics in Von Neumann Algebras by : Fumio Hiai

Download or read book Lectures on Selected Topics in Von Neumann Algebras written by Fumio Hiai and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on Von Neumann Algebras

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Author :
Publisher : Routledge
ISBN 13 :
Total Pages : 486 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Lectures on Von Neumann Algebras by : Serban Stratila

Download or read book Lectures on Von Neumann Algebras written by Serban Stratila and published by Routledge. This book was released on 1979 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Invitation to von Neumann Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 1461386691
Total Pages : 184 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis An Invitation to von Neumann Algebras by : V.S. Sunder

Download or read book An Invitation to von Neumann Algebras written by V.S. Sunder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why This Book: The theory of von Neumann algebras has been growing in leaps and bounds in the last 20 years. It has always had strong connections with ergodic theory and mathematical physics. It is now beginning to make contact with other areas such as differential geometry and K-Theory. There seems to be a strong case for putting together a book which (a) introduces a reader to some of the basic theory needed to appreciate the recent advances, without getting bogged down by too much technical detail; (b) makes minimal assumptions on the reader's background; and (c) is small enough in size to not test the stamina and patience of the reader. This book tries to meet these requirements. In any case, it is just what its title proclaims it to be -- an invitation to the exciting world of von Neumann algebras. It is hoped that after perusing this book, the reader might be tempted to fill in the numerous (and technically, capacious) gaps in this exposition, and to delve further into the depths of the theory. For the expert, it suffices to mention here that after some preliminaries, the book commences with the Murray - von Neumann classification of factors, proceeds through the basic modular theory to the III). classification of Connes, and concludes with a discussion of crossed-products, Krieger's ratio set, examples of factors, and Takesaki's duality theorem.

Quantum f-Divergences in von Neumann Algebras

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Publisher : Springer Nature
ISBN 13 : 9813341998
Total Pages : 199 pages
Book Rating : 4.8/5 (133 download)

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Book Synopsis Quantum f-Divergences in von Neumann Algebras by : Fumio Hiai

Download or read book Quantum f-Divergences in von Neumann Algebras written by Fumio Hiai and published by Springer Nature. This book was released on 2021-01-26 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relative entropy has played a significant role in various fields of mathematics and physics as the quantum version of the Kullback–Leibler divergence in classical theory. Many variations of relative entropy have been introduced so far with applications to quantum information and related subjects. Typical examples are three different classes, called the standard, the maximal, and the measured f-divergences, all of which are defined in terms of (operator) convex functions f on (0,∞) and have respective mathematical and information theoretical backgrounds. The α-Rényi relative entropy and its new version called the sandwiched α-Rényi relative entropy have also been useful in recent developments of quantum information. In the first half of this monograph, the different types of quantum f-divergences and the Rényi-type divergences mentioned above in the general von Neumann algebra setting are presented for study. While quantum information has been developing mostly in the finite-dimensional setting, it is widely believed that von Neumann algebras provide the most suitable framework in studying quantum information and related subjects. Thus, the advance of quantum divergences in von Neumann algebras will be beneficial for further development of quantum information. Quantum divergences are functions of two states (or more generally, two positive linear functionals) on a quantum system and measure the difference between the two states. They are often utilized to address such problems as state discrimination, error correction, and reversibility of quantum operations. In the second half of the monograph, the reversibility/sufficiency theory for quantum operations (quantum channels) between von Neumann algebras via quantum f-divergences is explained, thus extending and strengthening Petz' previous work. For the convenience of the reader, an appendix including concise accounts of von Neumann algebras is provided.

Lectures on Von Neumann Algebras: Type II, Factors

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (85 download)

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Book Synopsis Lectures on Von Neumann Algebras: Type II, Factors by : Dietmar Bisch

Download or read book Lectures on Von Neumann Algebras: Type II, Factors written by Dietmar Bisch and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on Selected Topics in Von Neumann Algebras

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Publisher :
ISBN 13 : 9783985475049
Total Pages : pages
Book Rating : 4.4/5 (75 download)

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Book Synopsis Lectures on Selected Topics in Von Neumann Algebras by : Fumio Hiai

Download or read book Lectures on Selected Topics in Von Neumann Algebras written by Fumio Hiai and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Neumann Compendium

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Publisher : World Scientific
ISBN 13 : 9814500682
Total Pages : 760 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis The Neumann Compendium by : Murray Muraskin

Download or read book The Neumann Compendium written by Murray Muraskin and published by World Scientific. This book was released on 1995-06-30 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: After three decades since the first nearly complete edition of John von Neumann's papers, this book is a valuable selection of those papers and excerpts of his books that are most characteristic of his activity, and reveal that of his continuous influence.The results receiving the 1994 Nobel Prizes in economy deeply rooted in Neumann's game theory are only minor traces of his exceptionally broad spectrum of creativity and stimulation.The book is organized by the specific subjects-quantum mechanics, ergodic theory, operator algebra, hydrodynamics, economics, computers, science and society. In addition, one paper which was written in German will be translated and published in English for the first time.The sections are introduced by short explanatory notes with an emphasis on recent developments based on von Neumann's contributions. An overall picture is provided by Ulam's, one of his most intimate partners in thinking, 1958 memorial lecture. Facsimilae and translations of some of his personal letters and a newly completed bibliography based on von Neumann's own careful compilation are added.

Special Topics in Algebra, Order Techniques in Algebra

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Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Special Topics in Algebra, Order Techniques in Algebra by : Bernhard Hermann Neumann

Download or read book Special Topics in Algebra, Order Techniques in Algebra written by Bernhard Hermann Neumann and published by . This book was released on 1962 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on von Neumann Algebras

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Publisher : Cambridge University Press
ISBN 13 : 1108496849
Total Pages : 441 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Lectures on von Neumann Algebras by : Șerban Strătilă

Download or read book Lectures on von Neumann Algebras written by Șerban Strătilă and published by Cambridge University Press. This book was released on 2019-05-09 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text covers fundamentals of von Neumann algebras, including the Tomita's theory of von Neumann algebras and the latest developments.

Special Topics in Algebra, Universal Algebra

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Publisher :
ISBN 13 :
Total Pages : 174 pages
Book Rating : 4.X/5 (1 download)

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Book Synopsis Special Topics in Algebra, Universal Algebra by : Bernhard Hermann Neumann

Download or read book Special Topics in Algebra, Universal Algebra written by Bernhard Hermann Neumann and published by . This book was released on 1962 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Special topics in algebra: universal algebra; lectures delivered in the Fall semester 1961-62, notes by P.M.Neumann

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (144 download)

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Book Synopsis Special topics in algebra: universal algebra; lectures delivered in the Fall semester 1961-62, notes by P.M.Neumann by : Bernhard Hermann Neumann

Download or read book Special topics in algebra: universal algebra; lectures delivered in the Fall semester 1961-62, notes by P.M.Neumann written by Bernhard Hermann Neumann and published by . This book was released on with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on von Neumann Algebras

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Publisher : Cambridge University Press
ISBN 13 : 1108750222
Total Pages : 442 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Lectures on von Neumann Algebras by : Serban-Valentin Stratila

Download or read book Lectures on von Neumann Algebras written by Serban-Valentin Stratila and published by Cambridge University Press. This book was released on 2019-05-09 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in lucid language, this valuable text discusses fundamental concepts of von Neumann algebras including bounded linear operators in Hilbert spaces, finite von Neumann algebras, linear forms on algebra of operators, geometry of projections and classification of von Neumann algebras in an easy to understand manner. The revised text covers new material including the first two examples of factors of type II^1, an example of factor of type III and theorems for von Neumann algebras with a cyclic and separating vector. Pedagogical features including solved problems and exercises are interspersed throughout the book.

Special topics in algebra: order techniques in algebra; lectures delivered in the Spring semester 1962, notes by P.M.Neumann

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (844 download)

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Book Synopsis Special topics in algebra: order techniques in algebra; lectures delivered in the Spring semester 1962, notes by P.M.Neumann by : Bernhard Hermann Neumann

Download or read book Special topics in algebra: order techniques in algebra; lectures delivered in the Spring semester 1962, notes by P.M.Neumann written by Bernhard Hermann Neumann and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on the Mathematics of Quantum Mechanics II: Selected Topics

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Publisher : Springer
ISBN 13 : 9462391157
Total Pages : 389 pages
Book Rating : 4.4/5 (623 download)

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Book Synopsis Lectures on the Mathematics of Quantum Mechanics II: Selected Topics by : Gianfausto Dell'Antonio

Download or read book Lectures on the Mathematics of Quantum Mechanics II: Selected Topics written by Gianfausto Dell'Antonio and published by Springer. This book was released on 2016-05-24 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume (General Theory) differs from most textbooks as it emphasizes the mathematical structure and mathematical rigor, while being adapted to the teaching the first semester of an advanced course in Quantum Mechanics (the content of the book are the lectures of courses actually delivered.). It differs also from the very few texts in Quantum Mechanics that give emphasis to the mathematical aspects because this book, being written as Lecture Notes, has the structure of lectures delivered in a course, namely introduction of the problem, outline of the relevant points, mathematical tools needed, theorems, proofs. This makes this book particularly useful for self-study and for instructors in the preparation of a second course in Quantum Mechanics (after a first basic course). With some minor additions it can be used also as a basis of a first course in Quantum Mechanics for students in mathematics curricula. The second part (Selected Topics) are lecture notes of a more advanced course aimed at giving the basic notions necessary to do research in several areas of mathematical physics connected with quantum mechanics, from solid state to singular interactions, many body theory, semi-classical analysis, quantum statistical mechanics. The structure of this book is suitable for a second-semester course, in which the lectures are meant to provide, in addition to theorems and proofs, an overview of a more specific subject and hints to the direction of research. In this respect and for the width of subjects this second volume differs from other monographs on Quantum Mechanics. The second volume can be useful for students who want to have a basic preparation for doing research and for instructors who may want to use it as a basis for the presentation of selected topics.

Noncommutative Integration and Operator Theory

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Publisher : Springer Nature
ISBN 13 : 303149654X
Total Pages : 583 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Noncommutative Integration and Operator Theory by : Peter G. Dodds

Download or read book Noncommutative Integration and Operator Theory written by Peter G. Dodds and published by Springer Nature. This book was released on 2024-01-19 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this monograph is to provide a systematic account of the theory of noncommutative integration in semi-finite von Neumann algebras. It is designed to serve as an introductory graduate level text as well as a basic reference for more established mathematicians with interests in the continually expanding areas of noncommutative analysis and probability. Its origins lie in two apparently distinct areas of mathematical analysis: the theory of operator ideals going back to von Neumann and Schatten and the general theory of rearrangement invariant Banach lattices of measurable functions which has its roots in many areas of classical analysis related to the well-known Lp-spaces. A principal aim, therefore, is to present a general theory which contains each of these motivating areas as special cases.

C*-Algebras and W*-Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 3642619932
Total Pages : 271 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis C*-Algebras and W*-Algebras by : Shoichiro Sakai

Download or read book C*-Algebras and W*-Algebras written by Shoichiro Sakai and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This book is an excellent and comprehensive survey of the theory of von Neumann algebras. It includes all the fundamental results of the subject, and is a valuable reference for both the beginner and the expert." Mathematical Reviews

Free Probability and Random Matrices

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Publisher : Springer
ISBN 13 : 1493969420
Total Pages : 343 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Free Probability and Random Matrices by : James A. Mingo

Download or read book Free Probability and Random Matrices written by James A. Mingo and published by Springer. This book was released on 2017-06-24 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume opens the world of free probability to a wide variety of readers. From its roots in the theory of operator algebras, free probability has intertwined with non-crossing partitions, random matrices, applications in wireless communications, representation theory of large groups, quantum groups, the invariant subspace problem, large deviations, subfactors, and beyond. This book puts a special emphasis on the relation of free probability to random matrices, but also touches upon the operator algebraic, combinatorial, and analytic aspects of the theory. The book serves as a combination textbook/research monograph, with self-contained chapters, exercises scattered throughout the text, and coverage of important ongoing progress of the theory. It will appeal to graduate students and all mathematicians interested in random matrices and free probability from the point of view of operator algebras, combinatorics, analytic functions, or applications in engineering and statistical physics.