Research Catalog
Noncommutative probability
- Title
- Noncommutative probability / by I. Cuculescu and A.G. Oprea.
- Author
- Cuculescu, I.
- Publication
- Dordrecht ; Boston : Kluwer Academic Publishers, [1994], ©1994.
Items in the Library & Off-site
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1 Item
| Status | Format | Access | Call Number | Item Location |
|---|---|---|---|---|
| Text | Request in advance | QC20.7.P7 C83 1994 | Off-site |
Holdings
Details
- Additional Authors
- Oprea, A. G.
- Description
- xiv, 353 pages; 25 cm.
- Summary
- This volume introduces the subject of noncommutative probability from a mathematical point of view based on the idea of generalising fundamental theorems in classical probability theory. It contains topics including von Neumann algebras, Fock spaces, free independence and Jordan algebras. Full proofs are given, and outlines are sketched where some background information is essential to follow the argument.
- The bibliography lists classical papers on the subject as well as recent titles, thus enabling further study. This book is of interest to graduate students and researchers in functional analysis, von Neumann algebras, probability theory and stochastic calculus. Some previous knowledge of operator algebras and probability theory is assumed.
- Series Statement
- Mathematics and its applications ; v. 305
- Uniform Title
- Mathematics and its applications (Kluwer Academic Publishers) ; v. 305.
- Subjects
- Bibliography (note)
- Includes bibliographical references (p. 317-348) and index.
- Contents
- Ch. 1. Central limit theorem on L(H) -- Ch. 2. Probability theory on von Neumann algebras -- Ch. 3. Free independence -- Ch. 4. The Clifford algebra -- Ch. 5. Stochastic integrals -- Ch. 6. Conditional mean values -- Ch. 7. Jordan algebras.
- ISBN
- 0792331338 (acid-free)
- LCCN
- 94032310
- OCLC
- 31012921
- ocm31012921
- Owning Institutions
- Columbia University Libraries