Lusin's C-property is not valid for functional Hilbert modules

Details Lusin's C-property is not valid for functional Hilbert modules Lusin's C-property is not valid for functional Hilbert modules

1995-01-18

arxiv.org/abs/funct-an/9501004v1

Mathematics

Operator Algebras

3 pages, LaTeX, version 2.09, no figures

Scientific paper

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

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