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.

References in corpus (4)

• Continuity and Equicontinuity of Transition Semigroups
• Strongly continuous and locally equi-continuous semigroups on locally convex spaces
• Universal extrapolation spaces for C${}_0$-semigroups
• Desch-Schappacher Perturbation of One-Parameter Semigroups on Locally Convex Spaces

Cited by in corpus (8)

• On equicontinuity and tightness of bi-continuous semigroups
• A Desch-Schappacher perturbation theorem for bi-continuous semigroups
• Subordination for sequentially equicontinuous equibounded $C_0$-semigroups
• Towards a Koopman theory for dynamical systems on completely regular spaces
• Well-posedness of non-autonomous transport equation on metric graphs
• 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