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Closedness of the Set of Extreme Points in Orlicz Spaces

✍ Scribed by Antonio Suarez-Granero; Marek Wisła

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
708 KB
Volume
157
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

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.

📜 SIMILAR VOLUMES

On Multifunctionals in the Musielak-Orli
On Multifunctionals in the Musielak-Orlicz Spaces of Multifunctions
✍ Andrzej Kasperski 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 327 KB

## Abstract We introduce the notions of __X__~d,s(x),φ~‐linear multifunctional and __X__~d,s(x),φ~‐linear continuous multifunctional. We generalize the theorems on linear bounded functionals in the Musielak‐Orlicz space.