Results 31 to 40 of about 5,147,452 (212)
Proximunalty in Orlicz-bochner Function Spaces
Tamkang Journal of Mathematics, 2003 A (closed) subspace $ Y$ of a Banach space $ X$ is called proximinal if for every $ x\in X$ there exists some $ y\in Y$ such that $ \|x-y\|\le\|x-z\|$ for $ z\in Y$. It is the object of this paper is to study the proximinality of $ L^\Phi(I,Y)$ in $ L^\Phi(I,X)$ for some class of Young's functions $ \Phi$, where $ I$ is the unit interval.
Khandaqji, M., Khalil, R., Hussein, D.
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Characteristic of convexity of Musielak-Orlicz function spaces equipped with the Luxemburg norm [PDF]
, 1992 summary:In this paper we extend the result of [6] on the characteristic of convexity of Orlicz spaces to the more general case of Musielak-Orlicz spaces over a non-atomic measure space.
Henryk Hudzik +3 more
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Uniformly Normal Structure of Orlicz Function Spaces Equipped with the p-Amemiya Norm
Journal of Harbin University of Science and TechnologyIn 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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Contractive projections in Orlicz sequence spaces
Abstract and Applied Analysis, 2004 We characterize norm-one complemented subspaces of Orlicz sequence spaces ℓM equipped with either Luxemburg or Orlicz norm, provided that the Orlicz function M is sufficiently smooth and sufficiently different from the square function.
Beata Randrianantoanina
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Riesz angles of Orlicz sequence spaces [PDF]
, 2002 summary:We introduce some practical calculation of the Riesz angles in Orlicz sequence spaces equipped with Luxemburg norm and Orlicz norm. For an $N$-function $\Phi(u)$ whose index function is monotonous, the exact value $a(l^{(\Phi)})$ of the Orlicz ...
Yan, Ya Qiang
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Kadec-Klee Property in Orlicz Function Spaces Equipped with S-Norms
Journal of Function Spaces, 2022 Using some new techniques, the necessary and sufficient conditions for Kadec-Klee property of Orlicz function spaces equipped with s-norms are presented.
Jiaqi Dong, Yunan Cui, Marek Wisła
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On the uniform convexity of the Besicovitch–Orlicz space of almost periodic functions with Orlicz norm [PDF]
Colloquium Mathematicum, 2005 Let \(\phi\) be an Orlicz function (convex function \(\phi : {\mathbb R}_+ \to {\mathbb R}_+\) such that \(\phi (0)= 0\), \(\phi (u) >0\) for \(u > 0\), \(\phi(u)/u \mathop{\longrightarrow} 0\) for \(u \to 0\) and \(\phi(u)/u \mathop{\longrightarrow} \infty\) for \(u \to \infty\)).
Morsli, Mohamed, Bedouhene, Fazia
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Empirical‐Process Limit Theory and Filter Approximation Bounds for Score‐Driven Time Series Models
Journal of Time Series Analysis, EarlyView.ABSTRACT This article examines the filtering and approximation‐theoretic properties of score‐driven time series models. Under specific Lipschitz‐type and tail conditions, new results are derived, leading to maximal and deviation inequalities for the filtering approximation error using empirical process theory.
Enzo D'Innocenzo
wiley +1 more source
Risk Measure Duality Without Structure
Mathematical Finance, EarlyView.ABSTRACT We study risk measures on vector spaces of random variables which a priori have little structure, such as spaces lacking law invariance or a lattice structure. Ensuring the existence of a tractable dual representation (one which does not contain non‐sigma‐additive measures) is one of the main problems in risk measure theory, and we address it ...
Vasily Melnikov
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On the WM property of Orlicz sequence spaces endowed with the Orlicz norm [PDF]
, 1997 summary:We obtain the criterion of the WM property for Orlicz sequence spaces endowed with the Orlicz ...
Cuixia, Hao +2 more
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