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.
Source
Source
Science and Engineering Research Board (SERB), DST 2022-23