Venue
Seminar Room, School of Mathematical Sciences
Speaker
Jaydeb Sarkar
Affiliation
ISI Bangalore
Title
Isometries on Hilbert spaces
We will describe the structure of isometries on Hilbert spaces, following H. Wold and J. von Neumann. Then we will proceed to represent (concrete and not so concrete) tuples of commuting isometries. We will draw a list of observations on subtlety of this object and link it up with some deep problems in operator theory and function theory. We will also report on some recent results concerning invariant subspaces of the Hardy space over the unit polydisc.