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Some notes on orlicz-bochner sequence spaces
Journal of Shanghai University, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Pin, Shi, Zhongrui, Liu, Yuxia
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On the Duality Mapping Sets in Orlicz Sequence Spaces
Acta Mathematica Sinica, English Series, 2001Summary: Criteria for the weak compactness of the duality mapping sets \(J(x)=\{f\in X^*:\langle f,x\rangle=\| f\|^2=\| x\|^2\}\) in Orlicz sequence spaces endowed either with the Luxemburg or with the Orlicz norm are obtained.
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DOUBLE SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS [PDF]
, 2007 In this paper we introduce some new double sequence spaces using the Orlicz function andexamine some properties of the resulting sequence spaces.
Savaş, Ekrem, Patterson, Richard F.
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Orlicz-Lorentz Sequence Spaces Equipped with the Orlicz Norm
Acta Mathematica Scientia, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cui, Yunan +2 more
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Israel Journal of Mathematics, 1972
It is proved that the set ofp's such thatlp is isomorphic to a subspace of a given Orlicz spacelFforms an interval. Some examples and properties of minimal Orlicz sequence spaces are presented. It is proved that an Orlicz function space (different froml2) is not isomorphic to a subspace of an Orlicz sequence space.
Lindenstrauss, J., Tzafriri, L.
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It is proved that the set ofp's such thatlp is isomorphic to a subspace of a given Orlicz spacelFforms an interval. Some examples and properties of minimal Orlicz sequence spaces are presented. It is proved that an Orlicz function space (different froml2) is not isomorphic to a subspace of an Orlicz sequence space.
Lindenstrauss, J., Tzafriri, L.
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Explosiveness of Musielak-Orlicz Sequence Spaces
Acta Analysis Functionalis Applicata, 2012Summary: We make a survey for criteria of the exposed points and the exposedness for the sequence spaces of Orlicz type, such as the classical Orlicz spaces, general Orlicz spaces and Musielak-Orlicz spaces, endowed with the Luxemburg norm and the Orlicz norm respectively.
Shi, Zhongrui, Liu, Chunyan
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WCS Coefficients in Orlicz Sequence Spaces
Southeast Asian Bulletin of Mathematics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some geometric coefficients in orlicz sequence spaces
Nonlinear Analysis: Theory, Methods & Applications, 1993A Banach space \(X\) is said to have weak normal structure if every weakly compact convex subset \(C\) of \(X\) contains a nondiametral point. Bynum has defined the term weak normal structure coefficient of a Banach space \(X\). \((\text{WCS}(X))\) and Huff has given the definition of uniformly Kadec- Klee property (UKK).
Domínguez Benavides, T. +1 more
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Maluta’s Coefficient of Musielak–Orlicz Sequence Spaces
Acta Mathematica Sinica, English Series, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yao, Huili, Wang, Tingfu
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On the galb of weighted Orlicz sequence spaces II
Archiv der Mathematik, 1985The galb theory of topological vector spaces has been developed by \textit{Ph. Turpin} in Diss. Math. 131, 221 p. (1976; Zbl 0331.46001). The study of the galbs of weighted Orlicz sequence spaces \(\ell^{\phi}(a)\) started with a previous paper of the author [Bull. Acad. Pol. Sci., Ser. Sci. Math.
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