Authors
Citation
Ma. Wendt, MEASURABLE HILBERT SHEAVES, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 61, 1996, pp. 189-215
Citations number
7
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
ISSN journal
02636115
Volume
61
Year of publication
1996
Part
2
Pages
189 - 215
Database
ISI
SICI code
0263-6115(1996)61:<189:MHS>2.0.ZU;2-U
Abstract
We describe measurable Hilbert sheaves as Hilbert space objects in a s
heaf 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 constr
uctions of operator theory on an indexed categorical footing.