Series representation in tensor products of Banach spaces
Functional Analysis
2025-06-27 v1
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.
Cite
@article{arxiv.2506.21344,
title = {Series representation in tensor products of Banach spaces},
author = {Jochen Wengenroth},
journal= {arXiv preprint arXiv:2506.21344},
year = {2025}
}