R-bounded approximating sequences and applications to semigroups

It is shown that on certain Banach spaces, including C[0,1] and L 1[0,1], there is no strongly continuous semigroup ( T t ) 0< t

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2004-06, Vol.294 (2), p.373-386
Main Authors: Hoffmann, M., Kalton, N., Kucherenko, T.
Format: Article
Language:English
Subjects:
Approximation property
Exact sciences and technology
Functional analysis
Group theory
Group theory and generalizations
Mathematical analysis
Mathematics
R-boundedness
Sciences and techniques of general use
Strongly continuous semigroups
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Description
Summary:It is shown that on certain Banach spaces, including C[0,1] and L 1[0,1], there is no strongly continuous semigroup ( T t ) 0< t
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2003.10.048