Hilbert Modules - Square Roots of Positive Maps
Operator Algebras
2017-08-23 v1
Abstract
We reflect on the notions of positivity and square roots. We review many examples which underline our thesis that square roots of positive maps related to *-algebras are Hilbert modules. As a result of our considerations we discuss requirements a notion of positivity on a *-algebra should fulfill and derive some basic consequences.
Cite
@article{arxiv.1007.0113,
title = {Hilbert Modules - Square Roots of Positive Maps},
author = {Michael Skeide},
journal= {arXiv preprint arXiv:1007.0113},
year = {2017}
}
Comments
24 pages