Results 21 to 30 of about 1,096,189 (211)
Proceedings of the American Mathematical Society, 1981 A Banach space X is called flat if there exists a curve on the surface of the unit ball of X with antipodal endpoints and length two. Although one's initial (finite dimensional) reaction to this definition is to question the existence of such spaces, Harrell and Karlovitz ([1] and [2]) have shown that some of the classical Banach spaces are flat; in [2]
Pach, A. J., Smith, M. A., Turett, B.
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Monotonicities in Orlicz Spaces Equipped with Mazur-Orlicz F-Norm
Journal of Function Spaces, 2020 Some basic properties in Orlicz spaces and Orlicz sequence spaces that are generated by monotone function equipped with the Mazur-Orlicz F-norm are studied in this paper. We give some relationships between the modulus and the Mazur-Orlicz F-norm.
Xinran Bai, Yunan Cui, Joanna Kończak
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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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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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Uniform rotundity in every direction of Orlicz-Sobolev spaces
Journal of Inequalities and Applications, 2016 In this paper, we study the extreme points and rotundity of Orlicz-Sobolev spaces. Analyzing and combining the properties of both Orlicz spaces and Sobolev spaces, we get the sufficient and necessary criteria for Orlicz-Sobolev spaces equipped with a ...
Fayun Cao, Rui Mao, Bing Wang
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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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Upper Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
Axioms, 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
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β Property in MusielakOrlicz Sequence Spaces Equipped with the Orlicz Norm
Journal 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
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Smoothness of the Orlicz norm in Musielak–Orlicz function spaces [PDF]
Mathematische Nachrichten, 2013 In this paper, we present a characterization of support functionals and smooth points in , the Musielak–Orlicz space equipped with the Orlicz norm. As a result, criterion for the smoothness of is also obtained. Some expressions involving the norms of functionals in , the topological dual of , are proved for arbitrary Musielak–Orlicz functions.
Vigelis, Rui F., Cavalcante, Charles C.
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Hypercyclicity of Composition Operators on Orlicz Function Spaces
Moroccan 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.
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