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Measurable Hilbert sheaves
Published online by Cambridge University Press: 09 April 2009
Abstract
We describe measurable Hilbert sheaves as Hilbert space objects in a sheaf category constructed from a measure space. These are quite useful for the interpretation of the direct integral of Hilbert spaces as an indexed functor. We set up a framework to put this and similar constructions of operator theory on an indexed categorical footing.
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- Copyright © Australian Mathematical Society 1996
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