Orlicz sequence spaces that are uniformly rotund in a weakly compact set of directions

Zhongrui Shi; YuanDi Wang; Ge Dong

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Displaying similar documents to “Orlicz sequence spaces that are uniformly rotund in a weakly compact set of directions”

On the KR and WKR points of Orlicz.

Yunan Cui, Yunfeng Zhang (1997)

Collectanea Mathematica

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In this paper, we obtain criteria for KR and WKR points in Orlicz function spaces equipped with the Luxemburg norm.

On property (β) of Rolewicz in Musielak-Orlicz sequence spaces equipped with the Orlicz norm

Paweł Kolwicz (2005)

Banach Center Publications

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We prove that the Musielak-Orlicz sequence space with the Orlicz norm has property (β) iff it is reflexive. It is a generalization and essential extension of the respective results from [3] and [5]. Moreover, taking an arbitrary Musielak-Orlicz function instead of an N-function we develop new methods and techniques of proof and we consider a wider class of spaces than in [3] and [5].

The Orlicz type theorem for differential-integral equations with a lagging argument

Michał Kisielewicz (1975)

Annales Polonici Mathematici

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Władysław Orlicz (1903-1990). A biography

Lech Maligranda, Witold Wnuk (2004)

Banach Center Publications

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Roughness of two norms on Musielak-Orlicz function spaces

Jimin Zheng, Lihuan Sun, Yun'an Cui (2008)

Banach Center Publications

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In this paper, the criteria of strong roughness, roughness and pointwise roughness of Orlicz norm and Luxemburg norm on Musielak-Orlicz function spaces are obtained.

Jung constants of Orlicz sequence spaces

Tao Zhang (2003)

Annales Polonici Mathematici

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Estimation of the Jung constants of Orlicz sequence spaces equipped with either the Luxemburg norm or the Orlicz norm is given. The exact values of the Jung constants of a class of reflexive Orlicz sequence spaces are found by using new quantitative indices for 𝓝-functions.

On some local geometry of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm

Yunan Cui, Yanhong Li, Mingxia Zou (2005)

Banach Center Publications

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Criteria for strong U-points, compactly locally uniformly rotund points, weakly compactly locally uniformly rotund points and locally uniformly rotund points in Musielak-Orlicz sequence spaces equipped with the Luxemburg norm are given.