Project financed by UEFISCDI - Romanian Government
Code: PN-II-ID-PCE-2011-3-0119

Contract  73/2011

Multidimensional operator theory: reproducing kernel spaces, noncommutative functions, moment problems, and generalized dilation results

Summary of the project

The theory of a single operator on Hilbert space has been thoroughly developed in the last decades. Recent perspectives stem from the emergent area of multioperators; one can consider it as an analogue of studying functions of several variables instead of a single variable. The project attempts to explore several directions in this domain. These include: reproducing kernel spaces that have the Pick property, noncommutative functions and their applications, dilation theorems in vector Hilbert spaces, multidimensional operator valued moment problems, multivariate prediction theory.

Research Team:
Objectives of the project:

Final scientific report: 2011-2016

Scientific report - 2015

Scientific report - 2014

Scientific report - 2011-2013