# On extreme points of Orlicz spaces with Orlicz norm.

Collectanea Mathematica (1993)

- Volume: 44, Issue: 1-2-3, page 135-146
- ISSN: 0010-0757

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topHudzik, Henryk, and Wisla, Marek. "On extreme points of Orlicz spaces with Orlicz norm.." Collectanea Mathematica 44.1-2-3 (1993): 135-146. <http://eudml.org/doc/42034>.

@article{Hudzik1993,

abstract = {In the paper we consider a class of Orlicz spaces equipped with the Orlicz norm over a non-negative, complete and sigma-finite measure space (T,Sigma,mu), which covers, among others, Orlicz spaces isomorphic to L-infinite and the interpolation space L1 + L-infinite. We give some necessary conditions for a point x from the unit sphere to be extreme. Applying this characterization, in the case of an atomless measure mu, we find a description of the set of extreme points of L1 + L-infinite which corresponds with the result obtained by R. Graslewicz and H. Schaefer [3] and H. Schaefer [13].},

author = {Hudzik, Henryk, Wisla, Marek},

journal = {Collectanea Mathematica},

keywords = {Espacio de Orlicz; Funciones convexas; Bola unidad; Interpolación; Operadores lineales; Orlicz spaces equipped with the Orlicz norm},

language = {eng},

number = {1-2-3},

pages = {135-146},

title = {On extreme points of Orlicz spaces with Orlicz norm.},

url = {http://eudml.org/doc/42034},

volume = {44},

year = {1993},

}

TY - JOUR

AU - Hudzik, Henryk

AU - Wisla, Marek

TI - On extreme points of Orlicz spaces with Orlicz norm.

JO - Collectanea Mathematica

PY - 1993

VL - 44

IS - 1-2-3

SP - 135

EP - 146

AB - In the paper we consider a class of Orlicz spaces equipped with the Orlicz norm over a non-negative, complete and sigma-finite measure space (T,Sigma,mu), which covers, among others, Orlicz spaces isomorphic to L-infinite and the interpolation space L1 + L-infinite. We give some necessary conditions for a point x from the unit sphere to be extreme. Applying this characterization, in the case of an atomless measure mu, we find a description of the set of extreme points of L1 + L-infinite which corresponds with the result obtained by R. Graslewicz and H. Schaefer [3] and H. Schaefer [13].

LA - eng

KW - Espacio de Orlicz; Funciones convexas; Bola unidad; Interpolación; Operadores lineales; Orlicz spaces equipped with the Orlicz norm

UR - http://eudml.org/doc/42034

ER -

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