M. Mackey

will speak on

Determining sets for Bounded Symmetric Domains

Time: 3:00PM
Date: Tue 22nd March 2022
Location: Seminar Room SCN 1.25 [map]

Further information

Abstract: A bounded symmetric domain can be realised as the unit ball $B$ of a complex Banach which has a transitive group of biholomorphic maps on $B$. These Banach spaces, known as JB*-triples, include C*-algebras and Hilbert spaces. In this talk, we will look at determining sets of the ball of a JB*-triple; firstly in the sense of convex hull, as per the Russo-Dye theorem for C*-algebras, and secondly in the sense of norm determining for holomorphic functions, as per the Bergmann-Shilov boundary of a finite dimensional domain.

This talk is based on joint work with Pauline Mellon.

https://ucd-ie.zoom.us/j/66631858529

(This talk is part of the Analysis series.)

PDF notice

Return to all seminars