A Non-commutative Monotone Selection Principle
Functional Analysis
2007-05-23 v1 Operator Algebras
Abstract
We give an elementary proof of a monotone selection principle which allows to pass from increasing nets to increasing sequences in the Hermitian part of a -finite von Neumann algebra. This is to be seen as a ``monotone version'' of first countability.
Cite
@article{arxiv.math/0312061,
title = {A Non-commutative Monotone Selection Principle},
author = {Marco Thill},
journal= {arXiv preprint arXiv:math/0312061},
year = {2007}
}