Lusin's C-property is not valid for functional Hilbert modules
funct-an
2016-08-31 v1 Operator Algebras
Abstract
We show that elements of Hilbert -module obtained by completion of the space of square-integrable functions on a space with measure taking values in a -algebra cannot be viewed as -valued functions on defined almost everywhere
Keywords
Cite
@article{arxiv.funct-an/9501004,
title = {Lusin's C-property is not valid for functional Hilbert modules},
author = {V. M. Manuilov},
journal= {arXiv preprint arXiv:funct-an/9501004},
year = {2016}
}
Comments
3 pages, LaTeX, version 2.09, no figures