Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law
Language: English
Published by Elsevier Science Publishing Co Inc, US, 2023
- Softcover
- New
Seller: Rarewaves.com USA, London, London, United KingdomRarewaves.com USA
AbeBooks seller since June 11, 2025
Condition: New
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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.
Seller Inventory # LU-9780443151750
- Title
- Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law
- Author
- Hemen Dutta, Ilwoo Cho
- Publisher
- Elsevier Science Publishing Co Inc, US
- Publication year
- 2023
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 044315175X
- ISBN 13
- 9780443151750
- Item weight
- 450 grams
- Presents the spectral properties of three types of operators on a Hilbert space, in particular how these operators affect the semicircular law
- Demonstrates how the semicircular law is deformed by actions "from inside", as opposed to actions "from outside" considered by previous theory
- Explores free Hilbert spaces and their modeling applications
- Authored by two leading researchers in Operator Theory and Operator Algebra
"Synopsis" may belong to another edition of this title.
About the Author
Dr. Hemen Dutta PhD is a Professor at Gauhati University, India. He also served three other higher learning academic institutions in different capacities prior to joining the Gauhati University. His current research interests are in the areas of nonlinear analysis and mathematical modeling. He is a regular and guest editor of several international indexed journals. He has published 25 books, including Mathematical Modelling and Analysis of Infectious Diseases, New Trends in Applied Analysis and Computational Mathematics, Current Trends in Mathematical Analysis and Its Interdisciplinary Applications from Springer, Concise Introduction to Basic Real Analysis, Topics in Contemporary Mathematical Analysis and Applications, and Mathematical Methods in Engineering and Applied Sciences from CRC Press, and Fractional Order Analysis: Theory, Methods and Applications from Wiley, among others. Dr. Dutta is also an honorary research affiliate and speaker for several international and national events.
"About the title" may belong to another edition of this title.
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