The group of isometries of a Banach space and duality

Details The group of isometries of a Banach space and duality The group of isometries of a Banach space and duality

2008-09-22

arxiv.org/abs/0809.3644v1

J. Funct. Anal. 255 (2008), 2966--2976.

Mathematics

Functional Analysis

To appear in J. Funct. Anal

Scientific paper

10.1016/j.jfa.2008.06.004

We construct an example of a real Banach space whose group of surjective
isometries has no uniformly continuous one-parameter semigroups, but the group
of surjective isometries of its dual contains infinitely many of them. Other
examples concerning numerical index, hermitian operators and dissipative
operators are also shown.

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