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:
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.
Download or read book Lectures on Von Neumann Algebras written by David M. Topping and published by . This book was released on 1969 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ten Lectures on Operator Algebras written by William Arveson and published by American Mathematical Soc.. This book was released on 1984 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains expanded versions of ten lectures delivered at Texas Tech University in the summer of 1983. The operator algebras of the title are nonselfadjoint algebras of operators on Hilbert space.
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.
Download or read book Lectures on Operator Algebras written by Karl Heinrich Hofmann and published by Springer. This book was released on 1972 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Actions of Discrete Amenable Groups on von Neumann Algebras written by Adrian Ocneanu and published by Springer. This book was released on 2006-12-08 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Tulane University Ring and Operator Theory Year 1970 1971 written by Karl H. Hofmann and published by Springer. This book was released on 2006-11-15 with total page 793 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
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:
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:
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.
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:
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
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:
