# Multivariable Hardy spaces and the classification of universal dilation algebras

Seminar
Speaker
Dr. Eli Shamovich, University of Waterloo, Waterloo, Ontario, Canada
Date
10/12/2018 - 16:00 - 15:05Add to Calendar 2018-12-10 15:05:00 2018-12-10 16:00:00 Multivariable Hardy spaces and the classification of universal dilation algebras In this talk, we will discuss what is special about the Hardy spaces $H^2(\mathbb{D})$ and its multiplier algebra $H^{\infty}(\mathbb{D})$, from the point of view of operators algebras and function theory. I will present two generalizations of the pair $H^2$ and $H^{\infty}$ to the multivariable setting. One commutative and one noncommutative. We will then discuss a natural classification question that arises in the multivariable setups of algebras of analytic functions on subvarieties of the unit ball. These algebras arise naturally as universal operator algebras of a class of row contractions. Only basic familiarity with operators on Hilbert spaces and complex analysis is assumed. 2nd floor Colloquium Room, Building 216 אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
2nd floor Colloquium Room, Building 216
Abstract

In this talk, we will discuss what is special about the Hardy spaces $H^2(\mathbb{D})$ and its
multiplier algebra $H^{\infty}(\mathbb{D})$, from the point of view of operators algebras and
function theory. I will present two generalizations of the pair $H^2$ and $H^{\infty}$ to the
multivariable setting. One commutative and one noncommutative. We will then discuss a natural
classification question that arises in the multivariable setups of algebras of analytic functions
on subvarieties of the unit ball. These algebras arise naturally as universal operator algebras
of a class of row contractions. Only basic familiarity with operators on Hilbert spaces and complex
analysis is assumed.

תאריך עדכון אחרון : 09/12/2018