Uniform non-squareness and property () of Besiovith-Orlizspaes
of almost periodifuntions with Orliz norm
Comment.Math.Univ.Carolin. 51,3 (2010)417{426.
Abstrat:Weharaterizetheuniformnon-squarenessandtheproperty()ofBesiovith-
OrlizspaesofalmostperiodifuntionsequippedwithOrliznorm.
Keywords:Besiovith-Orliz spae, almostperiodi funtion,uniform non-squareness,
property()
AMSSubjetClassiation:46B20
Referenes
[1℄ ChenS.,GeometryofOrlizspaes,DissertationesMath.356(1996).
[2℄ ChenS.,Hudzik H.,Onsome onvexitiesof OrlizandOrlih-Bohnerspaes,Comment.
Math.Univ.Carolin.29(1988),13{29.
[3℄ CuiY.,PluiennikR.,WangT.,Property()inOrlizspaes,Arh.Math.69(1997),57{69.
[4℄ JamesR.C.,Uniformlynon-squareBanahspaes,Ann.ofMath.80(1964),542{550.
[5℄ HudzikH.,Uniformlynon-l 1
n
Orlizspaes withLuxemburgnorm,StudiaMath.81(1985),
271{284.
[6℄ HudzikH.,GeometryofsomelassesofBanahfuntionspaes,ProeedingoftheInterna-
tionalSymposiumon Banahand FuntionSpaes(Kitakyshu,Japan,Otober2{4,2003),
pp.17{57.
[7℄ Garia-FalsetJ.,Llorens-FusterE.,Mazunan-NavarroE.M.,UniformlynonsquareBanah
spaeshavethexedpointpropertyfornonexpansivemappings,J.Funt.Anal.233(2006),
494{514.
[8℄ KutzarovaD.N.,k ()andk-nearlyuniformlyonvexBanahspaes,J.Math.Anal.Appl.
162(1991),322{338.
[9℄ Kolwiz P., Theproperty () of Orliz-Bohner sequene spaes, Comment. Math. Univ.
Carolin.42(2001),119{132.
[10℄ MorsliM.,Onsome onvexityproperties oftheBesiovith-Orliz spaeof almost periodi
funtions,Comment.Math.PraeMat.34(1994),137{152.
[11℄ MorsliM.,BedouheneF.,BoulahiaF.,DualitypropertiesandRieszrepresentationtheorem
intheBesiovith-Orlizspaeofalmostperiodifuntions,Comment.Math.Univ.Carolin.
43(2002),no.1,103{117.
[12℄ MorsliM.,BoulahiaF.,Uniformlynon-l 1
n
Besiovith-Orlizspaeofalmostperiodifun-
tions,Comment.Math.PraeMat.45(2005),no.1,25{34.
[13℄ MorsliM.,BedouheneF.,OntheuniformonvexityoftheBesiovith-Orlizspaeofalmost
periodifuntionswithOrliznorm,Colloq.Math.102(2005),no.1,97{111.
[14℄ RolewizS.,On-uniformonvexityanddropproperty,StudiaMath.87(1987),181{191.
[15℄ DhompongsaS.,Equivaleneof theproperties()and(NUC) inOrlizspaes,Comment.
Math.Univ.Carolin.41(2000),no.3,449{457.
