# Operator algebras seminar

Speaker: Michael Hartz (Saarland University)

Title: Multipliers and operator space structure of weak products

Abstract: The classical Hardy space $H^2$ on the unit disc, and more generally
Hilbert spaces of holomorphic functions, play an important role in
operator theory and function theory. Weak product spaces generalize the
notion of $H^1$ and were first studied using techniques from function
theory and harmonic analysis.

I will talk about how weak product spaces carry the structure of an
operator space and how this point of view makes it possible to
characterize multipliers of weak products. This is joint work with
Rapha\"el Clou\^atre.