Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law
Auteurs : Cho Ilwoo, Dutta Hemen
1. Fundamentals 2. Semicircular Elements Induced by Orthogonal Projections 3. Semicircular Elements Induced by Projections On l2-Spaces 4. Jump Operators on Free Hilbert Spaces and Deformed Semicircular Laws 5. Shift Operators on Free Hilbert Spaces and Deformed Semicircular Laws 6. Jump-Shift Operators on Free Hilbert Spaces and Deformed Semicircular Laws
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.
- 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
Date de parution : 04-2023
Ouvrage de 164 p.
19x23.4 cm