Structures on the way from classical to quantum spaces and their tensor products
Functional Analysis
2017-06-05 v1
Abstract
We study tensor products of two structures situated, in a sense, between normed spaces and (abstract) operator spaces. We call them Lambert and proto-Lambert spaces and pay more attention to the latter ones. The considered two tensor products lead to essentially different norms in the respective spaces. Moreover, the proto-Lambert tensor product is especially nice for spaces with the maximal proto-Lambert norm and in particular, for -spaces. At the same time the Lambert tensor product is nice for Hilbert spaces with the minimal Lambert norm.
Keywords
Cite
@article{arxiv.1706.00623,
title = {Structures on the way from classical to quantum spaces and their tensor products},
author = {A. Ya. Helemskii},
journal= {arXiv preprint arXiv:1706.00623},
year = {2017}
}