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Richard V. Kadison, John R. Ringrose - Fundamentals of the Theory of Operator Algebras. Volume II, Häftad

Häftad, Engelska, 2026

Del i serien Graduate Studies in Mathematics

Fundamentals of the Theory of Operator Algebras. Volume II

Advanced Theory

Av Richard V. Kadison, John R. Ringrose

1549 kr

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From the reviews for Volumes I and II: ""... these two volumes represent a magnificent achievement. They will be an essential item on every operator algebraist's bookshelves and will surely become the primary source of instruction for research students in von Neumann algebra theory."" -Bulletin of the London Mathematical Society""This book is extremely clear and well written and ideally suited for an introductory course on the subject or for a student who wishes to learn the fundamentals of the classical theory of operator algebras."" -Zentralblatt MATHThis work and Fundamentals of the Theory of Operator Algebras: Volume I, Elementary Theory (Graduate Studies in Mathematics, Volume 15) present an introduction to functional analysis and the initial fundamentals of $C^*$- and von Neumann algebra theory in a form suitable for both intermediate graduate courses and self-study. The authors provide a clear account of the introductory portions of this important and technically difficult subject. Major concepts are sometimes presented from several points of view; the account is leisurely when brevity would compromise clarity. An unusual feature in a text at this level is the extent to which it is self-contained; for example, it introduces all the elementary functional analysis needed. The emphasis is on teaching. Well supplied with exercises, the text assumes only basic measure theory and topology. The book presents the possibility for the design of numerous courses aimed at different audiences.
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Richard V. Kadison, University of Pennsylvania, Philadelphia, PA.John R. Ringrose, University of Newcastle, Newcastle upon Tyne, England.

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What is presented here is an exciting and careful account of some very substantial mathematics! ... As with the first volume, this book has an outstanding collection of exercises (and groupings of exercises) ... Although the material in this second volume is substantially more advanced than that in the first volume, the authors have maintained the same spirit of freshness of the presentation given there. -- Mathematical Reviews This book is extremely clear and well written and ideally suited for an introductory course on the subject or for a student who wishes to learn the fundamentals of the classical theory of operator algebras. -- Zentralblatt MATH This volume by one of the co-founders of the isomorphism theory of Bernoulli processes offers a comprehensive treatment of finite-state stationary processes, with special emphasis on their combinatorial and coding properties. It is of interest to advanced graduate students and researchers working in ergodic theory, probability and information and gives an excellent account of many different tools and constructions of measure-theoretic dynamics ... There is a useful bibliography which allows the interested reader to trace the history of the ideas presented in the book. -- Monatshefte fur Mathematik

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