
Noncommutative Probability
Kluwer Academic Publishers
Published on 30. September 1994
Book
Hardback
XIV, 354 pages
978-0-7923-3133-9 (ISBN)
Description
The intention of this book is to explain to a mathematician having no previous knowledge in this domain, what "noncommutative probability" is. So the first decision was not to concentrate on a special topic. For different people, the starting points of such a domain may be different. In what concerns this question, different variants are not discussed. One such variant comes from Quantum Physics. The motivations in this book are mainly mathematical; more precisely, they correspond to the desire of developing a probability theory in a new set-up and obtaining results analogous to the classical ones for the newly defined mathematical objects. Also different mathematical foundations of this domain were proposed. This book concentrates on one variant, which may be described as "von Neumann algebras". This is true also for the last chapter, if one looks at its ultimate aim. In the references there are some papers corresponding to other variants; we mention Gudder, S.P. &al (1978). Segal, I.E. (1965) also discusses "basic ideas".
More details
Series
Edition
1994 ed.
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
XIV, 354 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 25 mm
Weight
723 gr
ISBN-13
978-0-7923-3133-9 (9780792331339)
DOI
10.1007/978-94-015-8374-9
Schweitzer Classification
Other editions
Additional editions

I. Cuculescu | A.G. Oprea
Noncommutative Probability
Book
12/2010
Springer
€106.99
Shipment within 15-20 days
Content
1. Central limit theorem on L(H).- 2. Probability theory on von Neumann algebras.- 3. Free independence.- 4. The Clifford algebra.- 5. Stochastic integrals.- 6. Conditional mean values.- 7. Jordan algebras.- References.