Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law
Book Details
Format
Paperback / Softback
ISBN-10
044315175X
ISBN-13
9780443151750
Publisher
Elsevier Science Publishing Co Inc
Imprint
Academic Press Inc
Country of Manufacture
NL
Country of Publication
GB
Publication Date
Apr 26th, 2023
Print length
164 Pages
Weight
344 grams
Dimensions
18.90 x 23.40 x 1.30 cms
Product Classification:
Applied mathematics
Ksh 24,850.00
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In Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law, the authors consider the so-called free Hilbert spaces, which are the Hilbert spaces induced by the usual l2 Hilbert spaces and operators acting on them. The construction of these operators itself is interesting and provides new types of Hilbert-space operators. Also, by considering spectral-theoretic properties of these operators, the authors illustrate how “free-Hilbert-space? Operator Theory is different from the classical Operator Theory. More interestingly, the authors 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.
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