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Research Article Open access CC BY 4.0

On Natural Characterizations of Tensor Integrability

Mangatiana A. Robdera

Journal of Advances in Mathematics and Computer Science · pp. 458–469 · Published 4 May 2015

10.9734/BJMCS/2015/17331

Abstract

We revisit the definition of the tensor integrability introduced in [1], 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.

Vector integral tensor integral tensor product

Cited by 2

A Unified Approach to Integration Theory

Private Bag 0022, Department of Mathematics, University of Botswana, Gaborone, Mangatiana A. Robdera · International Journal of Applied Physics and Mathematics · 2019

On Cartesian Nets and Fubini-Tonelli Type Theorem

Department of Mathematics, University of Botswana, 4775 Notwane Road, Gaborone, Botswana, Mangatiana A. Robdera · International Journal of Applied Physics and Mathematics · 2017

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