Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law considers so-called free Hilbert spaces, which are the Hilbert spaces induced by the usual l2 Hilbert spaces and the operators acting on them. The book discusses their construction, considers spectral-theoretic properties of these operators, illustrate how "free-Hilbert-space" Operator Theory is different from the classical Operator Theory, and demonstrate how such operators affect the semicircular law induced by the ONB-vectors of a fixed free Hilbert space. Different from the usual approaches, this book shows how "inside" actions of operator algebra deform the free-probabilistic information--in particular, the Semicircular Law.
- ISBN:
- 9780443151750
- 9780443151750
-
Category:
- Applied mathematics
- Format:
- Paperback
- Publication Date:
-
05-05-2023
- Language:
- English
- Publisher:
- Elsevier Science & Technology
- Country of origin:
- United Kingdom
- Dimensions (mm):
- 234.95x190.5mm
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