Lusin's Cproperty is not valid for functional Hilbert modules
Abstract
We show that elements of Hilbert $A$module obtained by completion of the space of squareintegrable functions on a space with measure $X$ taking values in a $C^*$algebra $A$ cannot be viewed as $A$valued functions on $X$ defined almost everywhere
 Publication:

arXiv eprints
 Pub Date:
 January 1995
 arXiv:
 arXiv:functan/9501004
 Bibcode:
 1995funct.an..1004M
 Keywords:

 Mathematics  Functional Analysis;
 Mathematics  Operator Algebras
 EPrint:
 3 pages, LaTeX, version 2.09, no figures