Results 31 to 40 of about 92,536 (264)
Generalized Grand Lebesgue Spaces Associated to Banach Function spaces [PDF]
Sahand Communications in Mathematical AnalysisIn this paper we introduce the class of grand Lebesgue spaces associated to a Banach function space $X$ by replacing the role of the $L^1$-norm by the norm $\|\cdot\|_X$ in the classical construction of the generalized grand Lebesgue spaces.
Alireza Bagheri Salec +2 more
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Constructive utility functions on Banach spaces [PDF]
Journal of Mathematical Analysis and Applications, 2009 Let \(X\) be a topological space and let ``\(\preceq\)'' be a preorder on \(X\) (a complete, reflexive, transitive binary relation). We say that ``\(\preceq\)'' is continuous if, for all \(x\in X\), the upper section \(U(x):=\{y\in X \,;\, y\succeq x\}\) and the lower section \(L(x):=\{y\in X \,;\, y\preceq x\}\) are closed subsets of \(X\).
Alcantud, Jose C. R. +1 more
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Fractal Curves on Banach Algebras
Fractal and Fractional, 2022 Most of the fractal functions studied so far run through numerical values. Usually they are supported on sets of real numbers or in a complex field. This paper is devoted to the construction of fractal curves with values in abstract settings such as ...
María A. Navascués
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Quasi-Differentiable Functions on Banach Spaces [PDF]
Proceedings of the American Mathematical Society, 1971 Nonzero Fréchet differentiable functions with bounded support do not exist on certain real separable Banach spaces. As a result, the class of differentiable functions on such spaces is too small to be useful. For example, the class of differentiable functions on certain spaces does not separate disjoint closed subsets of the space.
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Smoothness in Musielak-Orlicz Function Spaces Equipped with p-Amemiya Norm
Journal of Harbin University of Science and TechnologyThe smoothness of Banach spaces is one of the important research content in the geometric theory of Banach spaces, which is closely related to the convexity of Banach spaces and the differentiability of norms.
XU Anqi, CUI Yunan
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Journal of Function Spaces, 2015 Authors define w∗ nearly dentable Banach space. Authors study Radon-Nikodym property, approximative compactness and continuity metric projector operator in w∗ nearly dentable space.
Shaoqiang Shang, Yunan Cui
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Fourier multipliers in Banach function spaces with UMD concavifications
, 2017 We prove various extensions of the Coifman-Rubio de Francia-Semmes multiplier theorem to operator-valued multipliers on Banach function spaces. Our results involve a new boundedness condition on sets of operators which we call $\ell^{r}(\ell^{s ...
Amenta, Alex +2 more
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Fixed Points of Multivalued Maps in Modular Function Spaces
Fixed Point Theory and Applications, 2009 The purpose of this paper is to study the existence of fixed points for contractive-type and nonexpansive-type multivalued maps in the setting of modular function spaces. We also discuss the concept of w-modular function and prove fixed point results for
Marwan A. Kutbi, Abdul Latif
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Locally Nearly Uniformly Convex Points in Orlicz Spaces Equipped with the Luxemburg Norm
AxiomsThis research explores two novel geometric concepts—nearly convex points and locally nearly uniformly convex points within the frameworks of Banach spaces and Orlicz spaces equipped with the Luxemburg norm.
Yunan Cui, Xiaoxia Wang, Yaoming Niu
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Indagationes Mathematicae, 2002 Suppose \((\Omega, {\mathcal A}, \mu)\) is a \(\sigma\)-finite measure space and \(L^\infty (\Omega , \mu)\) the classical \(M\)-space of \(\mu\)-essentially bounded real \(\mu\)-measurable functions. This paper presents the author's detailed analysis of the so-called Banach function \(M\)-spaces. A special case is the \(L^\infty\)-modules of \(\mathbb
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