منابع مشابه
Amemiya Norm Equals Orlicz Norm in General*
We present a proof that in Orlicz spaces the Amemiya norm and the Orlicz norm coincide for any Orlicz function ‘p. This gives the answer for an open problem. We also give a description of the Amemiya type for the Mazur-Orlicz F-norm.
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.
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 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.
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ژورنال
عنوان ژورنال: Sankhya A
سال: 2017
ISSN: 0976-836X,0976-8378
DOI: 10.1007/s13171-017-0108-4