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Measurability of intersections of measurable multifunctions

Taraldsen, Gunnar
Journal article
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URI
http://hdl.handle.net/11250/2465497
Date
1996
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  • Institutt for elektroniske systemer [1526]
  • Publikasjoner fra CRIStin - NTNU [19694]
Original version
Rendiconti del circolo matematico di Palermo. 1996, 45 (3), 459-472.   10.1007/BF02844516
Abstract
We prove universal compact-measurability of the intersection of a compact-measurable Souslin family of closed-valued multifunctions. This generalizes previous result on intersections of measurable multifunctions. We introduce the unique maximal part of a multifunction which is defined on the quotient given by an equivalence relation. Measurability of this part of a multifunction is proven in a special case. We show how these results apply to the spectral theory of measurable families of closed linear operators.
Publisher
Springer Verlag
Journal
Rendiconti del circolo matematico di Palermo

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