Product spaces generated by bilinear maps and duality
Functional Analysis
2020-03-31 v3
Abstract
We analyze a definition of product of Banach spaces that is naturally associated by duality with an abstract notion of space of multiplication operators. This dual relation allows to understand several constructions coming from different fields of the functional analysis, that can be seen as instances of the abstract one when a particular product is considered. Some relevant examples and applications are shown.
Cite
@article{arxiv.1408.2147,
title = {Product spaces generated by bilinear maps and duality},
author = {Enrique A. Sanchez-Perez},
journal= {arXiv preprint arXiv:1408.2147},
year = {2020}
}
Comments
14 pages