[Banach] Abstract of a paper by Miguel Martin

This is an announcement for the paper "The group of isometries of a Banach space and duality" by Miguel Martin.

Abstract: 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.

Archive classification: math.FA

Mathematics Subject Classification: Primary: 46B04. Secondary: 46B10, 46E15, 47A12

Remarks: To appear in J. Funct. Anal.

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http://front.math.ucdavis.edu/0809.3644

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http://arXiv.org/abs/0809.3644

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