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Hahn-Banach type theorems for adjoint semigroups. (English) Zbl 0671.47035

It is shown that most of the Hahn-Banach theorems hold for the semigroup dual space \(X^{\odot}\) of a \(C_ 0\)-semigroup on a Banach space X. As an application we give a new proof of a recently discovered characterization of \(\odot\)-reflexivity.

MSC:

47D03 Groups and semigroups of linear operators
46B10 Duality and reflexivity in normed linear and Banach spaces
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References:

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