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Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular law (in English)
Ilwoo Cho; Hemen Dutta Ph.d. (Author)
·
Academic Press
· Paperback
Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular law (in English) - Ilwoo Cho; Hemen Dutta Ph.D.
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Synopsis "Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular law (in English)"
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.
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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Paperback.
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