We provide a tensor product representation of Köthe-Bochner function spaces of vector valued integrable functions. As an application, we show that the dual space of a Köthe-Bochner function space can be understood as a space of operators satisfying a certain extension property. We apply our results in order to give an alternate representation of the dual of the Bochner spaces of p-integrable functions and to analyze some properties of the natural norms $$\Delta _p$$ Δ p that are defined on the associated tensor products.
Positivity – Springer Journals
Published: Jul 2, 2015
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