Fundamentals of the Theory of Operator Algebras (Graduate Studies in Mathematics, V. 15) by John R. Ringrose Richard V. Kadison (PDF)

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This work and Fundamentals of the Theory of Operator Algebras. Volume II, Advanced Theory 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.

User’s Reviews

Editorial Reviews: Review “Drawing on their rich experience, the authors have succeeded in presenting a very attractive and well-written book that conveys the flavor and the beauty of classical operator algebra theory and that should be ideally suited as a text for a graduate course on the subject.” —- Zentralblatt MATH”The authors have presented it [the material] in a fresh and attractive way which conveys the spirit and beauty of the subject … a beautiful book.” —- Mathematical Reviews”Most of Volume I is devoted to three chapters of preparatory material. In fact, these chapters form a general introduction to functional analysis which could hardly be bettered.” —- Bulletin of the London Mathematical Society

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