%0 Journal Article %T Lusin's C-property is not valid for functional Hilbert modules %A V. M. Manuilov %J Mathematics %D 1995 %I arXiv %X We show that elements of Hilbert $A$-module obtained by completion of the space of square-integrable 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 %U http://arxiv.org/abs/funct-an/9501004v1