Intermediate and extrapolated spaces for bi-continuous operator semigroups. (English) Zbl 07075270
Summary: We discuss the construction of the entire Sobolev (Hölder) scale for non-densely defined operators with rays of minimal growth on a Banach space. 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.
MSC:
| 47D03 | Groups and semigroups of linear operators |
| 46A70 | Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.) |
Keywords:
extrapolation spaces; non-densely defined Hille-Yosida operators; not strongly continuous one-parameter operator semigroups; Saks spaces; bi-continuous semigroupsReferences:
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