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Extreme and Exposed Points in Orlicz Spaces

Published online by Cambridge University Press:  20 November 2018

R. Grzaślewicz ,
H. Hudzik  and
W. Kurc
R. Grzaślewicz
Affiliation:
Institute of Mathematics Technical University of Wroclaw Wybrzeze St. Wyspiańskiego27 50-370 Wroclaw Poland
H. Hudzik
Affiliation:
Institute of Mathematics A. Mickiewicz University Matejki48/49 60-769 Poznań Poland
W. Kurc
Affiliation:
Institute of Mathematics A. Mickiewicz University Matejki48/49 60-769 Poznań Poland
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Abstract

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Extreme points of the unit sphere in any Orlicz space over a measure space that contains no atoms of infinite measure are characterized. In the case of a finite-valued Orlicz function and a nonatomic measure space, exposed points of the unit sphere in these spaces are characterized too. Some corollaries and examples are also given.

Keywords

46E3046B20
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 3 , 01 June 1992 , pp. 505 - 515
Copyright
Copyright © Canadian Mathematical Society 1992

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