These volumes deal with a subject, introduced half a century ago, that has become increasingly important and popular in recent years. While they cover the fundamental aspects of this subject, they make no attempt to be encyclopaedic. Their primary goal is to teach the subject and lead the reader to
Fundamentals of the theory of operator algebras. Advanced theory Volume 2
✍ Scribed by Richard V. Kadison; John R. Ringrose
- Book ID
- 127420250
- Publisher
- Academic Press
- Year
- 1986
- Tongue
- English
- Weight
- 6 MB
- Series
- Pure and applied mathematics 100-100, 2
- Category
- Library
- City
- New York
- ISBN-13
- 9783764334987
No coin nor oath required. For personal study only.
✦ Synopsis
This work and Fundamentals of the Theory of Operator Algebras. Volume I, Elementary 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.
✦ Subjects
Теория операторов
📜 SIMILAR VOLUMES
to the Encyclopaedia Subseries on Operator Algebras and Non-Commutative Geometry The theory of von Neumann algebras was initiated in a series of papers by Murray and von Neumann in the 1930's and 1940's. A von Neumann algebra is a self-adjoint unital subalgebra M of the algebra of bounded operators
to the Encyclopaedia Subseries on Operator Algebras and Non-Commutative Geometry The theory of von Neumann algebras was initiated in a series of papers by Murray and von Neumann in the 1930's and 1940's. A von Neumann algebra is a self-adjoint unital subalgebra M of the algebra of bounded operators
The unifying theme is the Banach space duality for operator algebras, allowing readers to recognize the affinity between operator algebras and measure theory on locally compact spaces.