The group of isometries of a Banach space and duality
classification
🧮 math.FA
keywords
groupisometriesbanachoperatorsspacesurjectiveconcerningconstruct
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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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