Marc Troyanov (Ecole Polytechnique Federale de Lausanne)
Royden algebras on MMD spaces
Abstract.
: The p-Royden Algebra of a Riemannian Manifold is
the Banach algebra of continuous bounded functions vanishing at
infinity and
having a p-integrable gradient. I will explain in this talk how
this algebra can be defined on a metric measure space and I will
show how a metric space is caracterized up to bilipshitz equivalence
by its p-Royden algebra under suitable hypothesis.
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