Closedness of the Set of Extreme Points in Orlicz Spaces | Zendy

SuarezGranero Antonio | Zendy; Wisła Marek | Zendy

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Closedness of the Set of Extreme Points in Orlicz Spaces

Author(s) -

SuarezGranero Antonio,

Wisła Marek

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.19921570125

Subject(s) - mathematics , extreme point , unit sphere , norm (philosophy) , bounded function , pure mathematics , ball (mathematics) , compact space , operator (biology) , space (punctuation) , mathematical analysis , combinatorics , biochemistry , chemistry , repressor , political science , transcription factor , law , gene , linguistics , philosophy

The aim of the paper is to give necessary and sufficient conditions under which the set of extreme points of the unit ball of an Orlicz space L ϕ (μ), equipped with the Luxemburg norm, is closed. Using that description a theorem is given saying when the notions “extremal” and “nice”, for a linear bounded compact operator from L ϕ (μ) into C ( Z ), coincide.

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