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arXiv:0809.3644 [math.FA]AbstractReferencesReviewsResources

The group of isometries of a Banach space and duality

Miguel Martin

Published 2008-09-22Version 1

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.

Comments: To appear in J. Funct. Anal
Journal: J. Funct. Anal. 255 (2008), 2966--2976.
Categories: math.FA
Subjects: 46B04, 46B10, 46E15, 47A12
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