L^p-modules and L^p-correspondences

2024/10/14 by Delfín, Alonso
#46H35 #47L10 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Primary 46H15 #Secondary 46L08

paper · doi:10.48550/arxiv.2410.10789

Abstract

We introduce an L^p-operator algebraic analogue of Hilbert C*- modules. We present the theory of concrete L^p-modules, their morphisms, and basic constructions including countable direct sums and tensor products. We then define L^p-correspondences and the interior tensor product of these.

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