Results 21 to 30 of about 5,302,583 (196)
Rearrangement and Convergence in Spaces of Measurable Functions
We prove that the convergence of a sequence of functions in the space L0 of measurable functions, with respect to the topology of convergence in measure, implies the convergence μ-almost everywhere (μ denotes the Lebesgue measure) of the sequence ...
A. Trombetta +2 more
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Upper bounds of some matrix operators on binomial and Orlicz-binomial double sequence spaces
In this article, we introduce binomial double sequence space bk(α,β;γ,δ) (1≤k≤∞) and Orlicz-binomial double sequence space bφ(α,β;γ,δ), and obtain certain inclusion results related to these spaces.
Taja Yaying, Bipan Hazarika
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Double Sequence Spaces by Means of Orlicz Functions [PDF]
We define some classes of double entire and analytic sequences by means of Orlicz functions. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined.
Abdullah Alotaibi +2 more
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Riesz angles of Orlicz sequence spaces [PDF]
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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The spectrum generated by s-numbers and pre-quasi normed Orlicz-Cesáro mean sequence spaces
In this article, we study some topological properties of the multiplication operator on Orlicz-Cesáro mean sequence spaces equipped with the pre-quasi norm and the pre-quasi operator ideal constructed by this sequence space and s-numbers.
Bakery Awad A.
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Some properties of pre-quasi norm on Orlicz sequence space
In this article, we introduce the concept of pre-quasi norm on E (Orlicz sequence space), which is more general than the usual norm, and give the conditions on E equipped with the pre-quasi norm to be Banach space.
Awad A. Bakery, Afaf R. Abou Elmatty
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Orlicz Sequence Spaces with a Unique Spreading Model [PDF]
From [\textit{J.\,Lindenstrauss} and \textit{L.\,Tzafriri}, ``Classical Banach Spaces.\ I: Sequences spaces'' (Ergebnisse der Mathematik und ihrer Grenzgebiete 92; Berlin-Heidelberg-New York: Springer-Verlag) (1977; Zbl 0362.46013)], we have the following Theorem.
Lü Linlin, Yin Hongping, Hao Cuixia
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The fixed point property in Musielak-Orlicz sequence spaces [PDF]
summary:In this paper, we give necessary and sufficient conditions for a point in a Musielak-Orlicz sequence space equipped with the Orlicz norm to be an {\bf H}-point.
Cui, Yunan, Thompson, H. Bevan
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The Banach-Saks Properties in Orlicz-Lorentz Spaces
The Banach-Saks index of an Orlicz-Lorentz space Λφ,w(I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of φ. It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks)
Anna Kamińska, Han Ju Lee
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Linear isomorphic spaces of fractional-order difference operators
In the present paper, we intend to make an approach to introduce and study the applications of fractional-order difference operators by generating Orlicz almost null and almost convergent sequence spaces.
S.A. Mohiuddine +3 more
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