Analysis Seminar

Michael Hartz, Department of Pure Mathematics, University of Waterloo

“Representations of multiplier algebras of Nevanlinna-Pick spaces”

Nevanlinna-Pick spaces are Hilbert function spaces which mirror some of the fine structure of the classical Hardy space on the unit disc. Their multiplier algebras are an important class of non self-adjoint operator algebras of functions.

I will talk about recent work with Rapha ̈el Clouˆatre, in which we investigate represen- tations of these multiplier algebras. In particular, we obtain a dilation result from a certain positivity property of the reproducing kernels. Moreover, we give a description of all boundary representations of a particular class of multiplier algebras.

MC 5417

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