Amemiya norm equals Orlicz norm in general

Amemiya norm equals Orlicz norm in general
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DOI:
10.1016/s0019-3577(00)80026-9
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发表时间:
2000-12
期刊:
Indagationes Mathematicae
影响因子:
--
通讯作者:
H. Hudzik;L. Maligranda
H. Hudzik;L. Maligranda
中科院分区:
其他
文献类型:
--
作者:
H. Hudzik;L. Maligranda

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We present a proof that in Orlicz spaces the Amemiya norm and the Orlicz norm coincide for any Orlicz function ϕ. This gives the answer for an open problem. We also give a description of the Amemiya type for the Mazur-Orlicz F-norm.