Binding: Paperback
Description: 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 l 2 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.
Title: Spectral Properties Of Certain Operators On A Free Hilbert Space And The Semicircular Law
Author(s): Dutta Hemen (Professor Department Of Mathematics Gauhati University India)
Publisher: Elsevier Science Publishing Co Inc
Barcode: 9780443151750
Pages: 164 Pages
Publication Date: 4/26/2023
Category: Applied Mathematics