Results 21 to 30 of about 14,081 (237)

Property ( k) of Orlicz Sequence Spaces

open access: yesJournal 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

Uniformly Nonsquare in Orlicz Space Equipped with the Mazur-Orlicz F-Norm

open access: yesJournal 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
doaj   +1 more source

Upper Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces

open access: yesAxioms, 2023
In this paper, the necessary and sufficient conditions for the upper strict monotonicity point and the upper local uniform monotonicity point are given in the case of Musielak–Orlicz spaces equipped with the Mazur–Orlicz F-norm.
Yanli Liu, Yangyang Xue, Yunan Cui
doaj   +1 more source

Hypercyclicity of Composition Operators on Orlicz Function Spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In this paper, we discuss the hypercyclic properties of composition operators on Orlicz function spaces. We give some different conditions under which a composition operator on Orlicz spaces is hyper-cyclic or not. Similarly, multiplication operators are
Jafari F., Kamali Z.
doaj   +1 more source

β Property in MusielakOrlicz Sequence Spaces Equipped with the Orlicz Norm

open access: yesJournal of Harbin University of Science and Technology, 2020
MusielakOrlicz spaces is a generalization of classical Orlicz spaces.In this paper, the characterization for the β property of MusielakOrlicz sequence spaces equipped with the Orlicz norm was investigated.A criteria for β points in MusielakOrlicz ...
ZUO Mingxia, LIU Hongjiao
doaj   +1 more source

M-constants in Orlicz Spaces Equipped with the Luxemburg Norm

open access: yesJournal 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
doaj   +1 more source

Asymptotically isometric copies of c_{0} in Musielak-Orlicz spaces [PDF]

open access: yesOpuscula Mathematica, 2014
Criteria in order that a Musielak-Orlicz function space \(L^\Phi\) as well as Musielak-Orlicz sequence space \(l^\Phi\) contains an asymptotically isometric copy of \(c_0\) are given. These results extend some results of [Y.A. Cui, H. Hudzik, G. Lewicki,
Agata Narloch, Lucjan Szymaszkiewicz
doaj   +1 more source

Compact composition operators on Bergman-Orlicz spaces [PDF]

open access: yes, 2010
We construct an analytic self-map $\phi$ of the unit disk and an Orlicz function $\Psi$ for which the composition operator of symbol $\phi$ is compact on the Hardy-Orlicz space $H^\Psi$, but not compact on the Bergman-Orlicz space ${\mathfrak B}^\Psi ...
Lefèvre, Pascal   +3 more
core   +3 more sources

Nonsquareness in Musielak-Orlicz-Bochner Function Spaces

open access: yesAbstract and Applied Analysis, 2011
The criteria for nonsquareness in the classical Orlicz function spaces have been given already. However, because of the complication of Musielak-Orlicz-Bochner function spaces, at present the criteria for nonsquareness have not been discussed yet. In the
Shaoqiang Shang, Yunan Cui, Yongqiang Fu
doaj   +1 more source

Strongly extreme points of Orlicz function spaces equipped with Φ-Amemiya norm

open access: yesJournal of Inequalities and Applications, 2020
In this paper, the criterion that points of Orlicz function spaces equipped with Φ-Amemiya norm generated by an Orlicz function are strongly extreme is given.
Lili An, Yunan Cui
doaj   +1 more source

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