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On N EMYTSKIJ Operators in L p ‐Spaces of Abstract Functions
Author(s) -
Goldberg H.,
Kampowsky W.,
Tröltzsch F.
Publication year - 1992
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19921550110
Subject(s) - differentiable function , mathematics , order (exchange) , pure mathematics , algebra over a field , business , finance
This paper is concerned with continuity and differentiability of N EMYTSKIJ 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 differentiability in the sense of F RÉCHET and G ÂTEAUX . Finally, second order differentiability is briefly discussed.
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