Uniform non-squareness and property ( β ) of Besicovitch-Orlicz spaces of almost periodic functions with Orlicz norm

Fatiha Boulahia; Mohamed Morsli

Commentationes Mathematicae Universitatis Carolinae (2010)

  • Volume: 51, Issue: 3, page 417-426
  • ISSN: 0010-2628

Abstract

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We characterize the uniform non-squareness and the property ( β ) of Besicovitch-Orlicz spaces of almost periodic functions equipped with Orlicz norm.

How to cite

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Boulahia, Fatiha, and Morsli, Mohamed. "Uniform non-squareness and property $(\beta )$ of Besicovitch-Orlicz spaces of almost periodic functions with Orlicz norm." Commentationes Mathematicae Universitatis Carolinae 51.3 (2010): 417-426. <http://eudml.org/doc/38137>.

@article{Boulahia2010,
abstract = {We characterize the uniform non-squareness and the property $(\beta )$ of Besicovitch-Orlicz spaces of almost periodic functions equipped with Orlicz norm.},
author = {Boulahia, Fatiha, Morsli, Mohamed},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Besicovitch-Orlicz space; almost periodic function; uniform non-squareness; property $(\beta )$; Besicovitch-Orlicz space; almost periodic function; uniform non-squareness; property },
language = {eng},
number = {3},
pages = {417-426},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Uniform non-squareness and property $(\beta )$ of Besicovitch-Orlicz spaces of almost periodic functions with Orlicz norm},
url = {http://eudml.org/doc/38137},
volume = {51},
year = {2010},
}

TY - JOUR
AU - Boulahia, Fatiha
AU - Morsli, Mohamed
TI - Uniform non-squareness and property $(\beta )$ of Besicovitch-Orlicz spaces of almost periodic functions with Orlicz norm
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2010
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 51
IS - 3
SP - 417
EP - 426
AB - We characterize the uniform non-squareness and the property $(\beta )$ of Besicovitch-Orlicz spaces of almost periodic functions equipped with Orlicz norm.
LA - eng
KW - Besicovitch-Orlicz space; almost periodic function; uniform non-squareness; property $(\beta )$; Besicovitch-Orlicz space; almost periodic function; uniform non-squareness; property
UR - http://eudml.org/doc/38137
ER -

References

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  11. Morsli M., Bedouhene F., Boulahia F., Duality properties and Riesz representation theorem in the Besicovitch-Orlicz space of almost periodic functions, Comment. Math. Univ. Carolin. 43 (2002), no. 1, 103–117. Zbl1090.46010MR1903310
  12. Morsli M., Boulahia F., Uniformly non- l n 1 Besicovitch-Orlicz space of almost periodic functions, Comment. Math. Prace Mat. 45 (2005), no. 1, 25–34. MR2199891
  13. Morsli M., Bedouhene F., 10.4064/cm102-1-9, Colloq. Math. 102 (2005), no. 1, 97–111. Zbl1112.46013MR2150272DOI10.4064/cm102-1-9
  14. Rolewicz S., On Δ -uniform convexity and drop property, Studia Math. 87 (1987), 181–191. Zbl0652.46010MR0928575
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