arXiv · funct-an/9501004
Lusin's C-property is not valid for functional Hilbert modules
Abstract
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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V. M. Manuilov. 1995-01-18. Lusin's C-property is not valid for functional Hilbert modules. https://arxiv.org/abs/funct-an/9501004
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