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Upper semicontinuity of Nemytskij operators

✍ Scribed by A. Cellina; A. Fryszkowski; T. Rzezuchowski

Book ID: 112608984
Publisher: Springer
Year: 1991
Tongue: English
Weight: 441 KB
Volume: 160
Category: Article
ISSN: 0373-3114
DOI: 10.1007/bf01764132

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## Abstract This paper is concerned with continuity and differentiability of NEMYTSKIJ operators acting between spaces of summable abstract functions. In a first part, necessary and sufficient conditions for continuity are collected. Then main emphasis is given to sufficient conditions for differen