Characteristic Functions, Invariant Subspaces and Regular Factorizations
Implementing Organization
Indian Institute of Technology (IIT)
Principal Investigator
Dr. Kalpesh Jayantilal Haria
Indian Institute of Technology (IIT)
Project Overview
This proposed project aims to investigate the properties/structures of a class of operators/operator tuples on Hilbert spaces through the dilation theory, a branch of the operator theory. A plan is to apply the isometric dilations/unitary dilations, the characteristic functions, and regular factorizations of the characteristic functions as the tools to scrutinize the properties/structures.