On natural characterizations of tensor integrability
Robdera, Mangatiana A.
PublisherScience Domain International, http://www.sciencedomain.org/
RightsIt is available under Creative Commons Attribution License
Rights holderMangatiana A. Robdera
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We revisit the deﬁnition of the tensor integrability introduced in , and prove some useful characterizations that provide a foundation for studying relevant properties to the integration theory. As applications, we obtain some representation theorems for the projective and injective tensor products of the space of scalar integrable functions with Banach spaces.