Intermediate and extrapolated spaces for bi-continuous semigroups

Abstract

We discuss the construction of the full Sobolev (Hölder) scale for non-densely defined operators on a Banach space with rays of minimal growth. In particular, we give a construction for extrapolation- and Favard spaces of generators of (bi-continuous) semigroups, or which is essentially the same, Hille-Yosida operators on Saks spaces.

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• Convergence Rates for the Trotter Splitting for Unbounded Operators
• Weighted composition semigroups on spaces of continuous functions and their subspaces
• Sun dual theory for bi-continuous semigroups