On Characterization of Strongly Extreme Points in Köthe-Bochner Spaces
نویسندگان
چکیده
منابع مشابه
On the Extreme Points and Strongly Extreme Points in Köthe–bochner Spaces
We give the necessary conditions of extreme points and strongly extreme points in the unit ball of Köthe–Bochner spaces. The conditions have been shown to be sufficient earlier.
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and Applied Analysis 3 Put LM X { u ∈ XT : ρM λu < ∞ for some λ > 0 } . 1.5 Then the Musielak-Orlicz-Bochner function space ‖u‖ inf k>0 1 k [ 1 ρM ku ] 1.6 is Banach space. If X R, LM R is said to be Musielak-Orlicz function space. Set K u { k > 0 : 1 k ( 1 ρM ku ) ‖u‖ } . 1.7 In particular, the set K u can be nonempty. To show that, we give a proposition. Proposition 1.1. If limu→∞ M t, u /u ∞...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1997
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181071963