Uniformly Nonsquare in Orlicz Space Equipped with the Mazur-Orlicz F -Norm
نویسندگان
چکیده
منابع مشابه
On uniformly nonsquare points and nonsquare points of Orlicz spaces*
For Orlicz spaces endowed with the Orlicz norm and the Luxemburg norm, the criteria for uniformly nonsquare points and nonsquare points are given.
متن کاملISOMETRIC COPIES OF l AND l∞ IN ORLICZ SPACES EQUIPPED WITH THE ORLICZ NORM
Criteria in order that an Orlicz space equipped with the Orlicz norm contains a linearly isometric copy (or an order linearly isometric copy) of l1 (or l∞) are given.
متن کاملOn the uniformly normal structure of Orlicz spaces with Orlicz norm*
We prove that in Orlicz spaces endowed with Orlicz norm the uniformly normal structure is equivalent to the reflexivity.
متن کاملAn inequality in Orlicz function spaces with Orlicz norm
We use Simonenko quantitative indices of an N -function Φ to estimate two parameters qΦ and QΦ in Orlicz function spaces L [0,∞) with Orlicz norm, and get the following inequality: BΦ BΦ−1 ≤ qΦ ≤ QΦ ≤ AΦ Aφ−1 , where AΦ and BΦ are Simonenko indices. A similar inequality is obtained in L[0, 1] with Orlicz norm.
متن کاملOn the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm
The problem of strict convexity of the Besicovitch-Orlicz space of almost periodic functions is considered here in connection with the Orlicz norm. We give necessary and sufficient conditions in terms of the function φ generating the space. 2000 Mathematics Subject Classification: 46B20, 42A75.
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ژورنال
عنوان ژورنال: Journal of Function Spaces
سال: 2021
ISSN: 2314-8888,2314-8896
DOI: 10.1155/2021/6618846