Algebraic Tensor Products Revisited: Axiomatic Approach
Functional Analysis
2021-08-31 v2
Abstract
This is an expository paper on tensor products where the standard approaches for constructing concrete instances of algebraic tensor products of linear spaces, via quotient spaces or via linear maps of bilinear maps, are reviewed by reducing them to different but isomorphic interpretations of an abstract notion, viz., the universal property, which is based on a pair of axioms.
Cite
@article{arxiv.2101.06515,
title = {Algebraic Tensor Products Revisited: Axiomatic Approach},
author = {C. S. Kubrusly},
journal= {arXiv preprint arXiv:2101.06515},
year = {2021}
}