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A note on measurability of multifunctions approximately continuous in second variable


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Let I R be an interval,(X,ℳ(X)) a measure space, and (Z, ∥⋅∥) a reflexive Banach space. We prove that a multifunction F from X × I to Z is measurable whenever it is ℳ(X)-measurable in the first and approximately continuous and almost everywhere continuous in the second variable.

ISSN:
1210–3195
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
3 Hefte pro Jahr
Fachgebiete der Zeitschrift:
Mathematik, Allgemeines