On Uniform Equicontinuity of Sequences of Measurable Operators
Operator Algebras
2014-05-20 v2
Abstract
The notion of uniform equicontinuity in measure at zero for sequences of additive maps from a normed space into the space of measurable operators associated with a semifinite von Neumann algebra is discussed. It is shown that uniform equicontinuity in measure at zero on a dense subset implies the uniform equicontinuity on the entire space, which is then applied to derive some non-commutative ergodic theorems
Keywords
Cite
@article{arxiv.1012.3425,
title = {On Uniform Equicontinuity of Sequences of Measurable Operators},
author = {Semyon Litvinov},
journal= {arXiv preprint arXiv:1012.3425},
year = {2014}
}
Comments
There is an error in the proof of a critical statement