Research
Title : | On Decomposition of Tuple of Commuting Contractions and Numerical Radius |
Area of research : | Mathematical Sciences |
Focus area : | Mathematics |
Principal Investigator : | Dr. Amit Maji, Assistant Professor, Indian Institute of Technology (IIT), Roorkee |
Timeline Start Year : | 2023 |
Contact info : | amit[dot]iitm07[at]gmail[dot]com |
Details
Executive Summary : | The classification problem for a tuple of commuting isometries is a fundamental problem in operator theory on Hilbert spaces, function theory, and operator algebras. The multidimensional Wold-type decomposition of pairs or tuples of commuting isometries has numerous applications, including index theory and invariant subspace theory. This proposal aims to study the decomposition for various pairs of commuting operators, investigate the numerical radius of operators on Hilbert spaces, and explore the Crawford number. |
Total Budget (INR): | 19,88,832 |
Organizations involved
Implementing Agency : | Indian Institute of Technology (IIT), Roorkee Funding Agency : Science and Engineering Research Board (SERB), Department of Science and Technology (DST) | |