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Amemiya norm equals Orlicz norm in general

Indagationes Mathematicae, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hudzik, Henryk, Maligranda, Lech
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Property ( k) of Orlicz Sequence Spaces

Journal of Harbin University of Science and Technology, 2017
Property ( k) is an important geometric property in Banach spaces，and it is closely associated with fixed point property． By the geometric theory of Banach spaces and Orlicz spaces， we investigated the characterization for property( k) in a special ...
ZUO Ming-xia, PENG Li-na
doaj   +1 more source

The Daugavet property in the Musielak-Orlicz spaces

, 2014
We show that among all Musielak-Orlicz function spaces on a $\sigma$-finite non-atomic complete measure space equipped with either the Luxemburg norm or the Orlicz norm the only spaces with the Daugavet property are $L_1$, $L_{\infty}$, $L_1\oplus_1 L_ ...
Kamińska, Anna, Kubiak, Damian
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Orlicz spaces equipped with s-norms

Journal of Mathematical Analysis and Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Monotonicity of Orlicz-Lorentz Sequence Spaces Equipped with the F-norm

Journal of Harbin University of Science and Technology
We introduce a new F-normed spaces, namely Orlicz-Lorentz spaces equipped with the Mazur-Orlicz F-norm, and study some properties, prove that Orlicz-Lorentz spaces equipped with the F-norm are complete F-spaces.
XUE Yangyang, CUI Yunan
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Strongly Extreme Points and Middle Point Locally Uniformly Convex in Orlicz Spaces Equipped with s-Norm

Journal of Function Spaces, 2019
As is well known, the extreme points and strongly extreme points play important roles in Banach spaces. In this paper, the criterion for strongly extreme points in Orlicz spaces equipped with s-norm is given.
Yunan Cui, Yujia Zhan
doaj   +1 more source

On the Distribution of Random variables corresponding to Musielak-Orlicz norms

, 2013
Given a normalized Orlicz function $M$ we provide an easy formula for a distribution such that, if $X$ is a random variable distributed accordingly and $X_1,...,X_n$ are independent copies of $X$, then the expected value of the p-norm of the vector ...
Alonso-Gutierrez, David, Christensen, Soeren, Passenbrunner, Markus, Prochno, Joscha   +3 more
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Maluta’s coefficient in Musielak-Orlicz sequence spaces equipped with the Orlicz norm [PDF]

Proceedings of the American Mathematical Society, 1998
Maluta’s coefficient of Musielak-Orlicz sequence spaces equipped with the Orlicz norm is calculated. A sufficient condition for the Schur property of these spaces is given.
Cui, Yunan, Hudzik, Henryk, Zhu, Hongwei
openaire   +1 more source

Uniformly Normal Structure of Orlicz Function Spaces Equipped with the p-Amemiya Norm

Journal of Harbin University of Science and Technology
In this paper, we mainly investigate the uniformly normal structure of Orlicz function spaces equipped with the p-Amemiya norm. A necessary and sufficient condition for Orlicz function spaces equipped with the p-Amemiya norm to have a uniformly normal
ZUO Mingxia, XU Zeyu
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Weak amenability of weighted Orlicz algebras

, 2017
Let G be a locally compact abelian group, $\omega:G\to (0,\infty)$ be a weight, and ($\Phi$,$\Psi$) be a complementary pair of strictly increasing continuous Young functions.
Samei, Ebrahim, Shepelska, Varvara, Öztop, Serap   +2 more
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