Series representation in tensor products of Banach spaces

2025/06/26 by Wengenroth, Jochen
#46A23 #46B28 #46M05 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2506.21344

Abstract

We show by a ridiculously simple argument that, for any norm on the tensor product of vector spaces, every element of the completion can be represented as a convergent series of elementary tensors.

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