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Measurable selectors of multifunctions and applications

✍ Scribed by Jerald P. Dauer; F. S. Van Vleck

Publisher
Springer
Year
1973
Tongue
English
Weight
701 KB
Volume
7
Category
Article
ISSN
1433-0490

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πŸ“œ SIMILAR VOLUMES

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## Abstract Let __Y__ and __Z__ be two topological spaces and __F__ : __Y__ Γ— __Z__ β†’ ℝ a function that is upper semi–continuous in the first variable and lower semi–continuous in the second variable. If __Z__ is Polish and for every __y__ ∈ __Y__ there is a point __z__ ∈ __Z__ with __F__(__y, z__)

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The density property of the set of extreme selections considered in general ORLIOZ spaces ia established in topologies finer than the weak one for measurable multifunctions taking values in locally convex S W S L ~ spaces and not necessarily integrable.