We give the sufficient and necessary conditions of Bochner-Orlicz sequence spaces equipped with Orlicz norm that have the lambda property and uniform lambda property, respectively. The results show that the lambda property can not be lifted from X to l(M) (X).
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Harbin Univ Sci & Technol, Dept Math, Harbin 150080, Peoples R ChinaHarbin Univ Sci & Technol, Dept Math, Harbin 150080, Peoples R China
Cui, Yunan
Foralewski, Pawel
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Adam Mickiewicz Univ, Fac Math & Comp Sci, Uniwersytetu Poznanskiego 4, PL-61614 Poznan, PolandHarbin Univ Sci & Technol, Dept Math, Harbin 150080, Peoples R China
Foralewski, Pawel
Konczak, Joanna
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Adam Mickiewicz Univ, Fac Math & Comp Sci, Uniwersytetu Poznanskiego 4, PL-61614 Poznan, PolandHarbin Univ Sci & Technol, Dept Math, Harbin 150080, Peoples R China