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Intermediate and extrapolated spaces for bi-continuous operator semigroups

Intermediate and extrapolated spaces for bi-continuous operator semigroups 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

Intermediate and extrapolated spaces for bi-continuous operator semigroups

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References (34)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer Nature Switzerland AG
Subject
Mathematics; Analysis
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-018-0477-8
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Nov 1, 2018

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