Displaying similar documents to “Orlicz and unconditionally convergent series in L¹”

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.

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].

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.

A New Sequence Space Defined by a Sequence of Orlicz Functions over n -Normed Spaces

Kuldip Raj, Sunil K. Sharma (2012)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In this paper we introduce a new sequence space B V σ ( ℳ , u , p , r , ∥ · , ... , · ∥ ) defined by a sequence of Orlicz functions ℳ = ( M k ) and study some topological properties of this sequence space.