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Smooth Points of O RLICZ Spaces Equipped with L UXEMBURG Norm
Author(s) -
Grzaślewicz R.,
Hudzik H.
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.19921550104
Subject(s) - mathematics , corollary , norm (philosophy) , unit sphere , pure mathematics , measure (data warehouse) , smoothness , mathematical analysis , database , political science , computer science , law
Smooth points of the unit sphere of O RLICZ spaces equipped with L UXEMBURG norm are characterized for a non‐atomic measure as well as for the counting measure. As a corollary, a criterion of smoothness of O RLICZ spaces with L UXEMBURG norm is obtained.