Results 21 to 30 of about 221 (175)

The Strongly Extreme Points in the Musielak-Orlicz  Space Endowed With p-Amemiya Norm

Journal of Harbin University of Science and Technology, 2018
In order to study some geometric properties of MusielakOrlicz space endowed with pAmemiya norm, we discuss the necessary and sufficient conditions for the strongly extreme points in the MusielakOrlicz function space endowed with pAmemiya norm ...
JIA Jing, WANG Jun-ming
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On the (k-β) Points of Musielak-Orlicz Sequence Spaces Equipped with the Orlicz Norm

Journal of Harbin University of Science and Technology, 2019
MusielakOrlicz spaces is the generalization of classical Orlicz spaces In this paper, we investigated the problem of characterization of the (kβ) points in Musielak Orlicz sequence spaces equipped with the Orlicz norm Firstly, the definition of (kβ ...
ZUO Ming-xia, LIU Hong-jiao
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Uniformly Nonsquare in Orlicz Space Equipped with the Mazur-Orlicz F-Norm

Journal of Function Spaces, 2021
The definition of uniformly nonsquareness in Banach spaces is extended to F-normed spaces. Most of the results from this paper concern (uniformly) nonsquareness in the sense of James or in the sense of Schäffer in Orlicz spaces equipped with the Mazur ...
Yunan Cui, Tongyu Wang
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Kadec-klee Property in Musielak-Orlicz of Sequence Space Equipped with p-Amemiya Norm

Journal of Harbin University of Science and Technology, 2021
As we known, H property is a imp01tant property in theory of Banach spaces. It closly connects with the approximation compactness and fixed point prope1ty of nonexpansive mapping. ln this paper, we give necessai-y and sufficient conditions for a point in
ZHAO Li, CUI Yun-an
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Extreme Points and Rotundity in Musielak-Orlicz-Bochner Function Spaces Endowed with Orlicz Norm

Abstract and Applied Analysis, 2010
The criteria for extreme point and rotundity of Musielak-Orlicz-Bochner function spaces equipped with Orlicz norm are given. Although criteria for extreme point of Musielak-Orlicz function spaces equipped with the Orlicz norm were known, we can easily ...
Shaoqiang Shang, Yunan Cui, Yongqiang Fu
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M-constants in Orlicz Spaces Equipped with the Luxemburg Norm

Journal of Harbin University of Science and Technology, 2022
Riesz angle μ2(x)is an important geometric constant in Banach lattice spaces, which is closely related to the fixed point properties of spaces. In this paper, the M-constants of Orlicz function spaces and Orlicz sequence spaces equipped with Luxemburg ...
WANG Zi-xuan, CUI Yun-an, WANG Jing
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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
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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
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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
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