Results 21 to 30 of about 5,302,583 (196)

Rearrangement and Convergence in Spaces of Measurable Functions

open access: yesJournal of Inequalities and Applications, 2007
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
doaj   +2 more sources

Upper bounds of some matrix operators on binomial and Orlicz-binomial double sequence spaces

open access: yesScientific African, 2022
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
doaj   +1 more source

Double Sequence Spaces by Means of Orlicz Functions [PDF]

open access: yesAbstract and Applied Analysis, 2014
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
openaire   +4 more sources

Riesz angles of Orlicz sequence spaces [PDF]

open access: yes, 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
core   +1 more source

The spectrum generated by s-numbers and pre-quasi normed Orlicz-Cesáro mean sequence spaces

open access: yesOpen Mathematics, 2020
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.
doaj   +1 more source

Some properties of pre-quasi norm on Orlicz sequence space

open access: yesJournal of Inequalities and Applications, 2020
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
doaj   +1 more source

Orlicz Sequence Spaces with a Unique Spreading Model [PDF]

open access: yesJournal of Inequalities and Applications, 2010
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
openaire   +4 more sources

The fixed point property in Musielak-Orlicz sequence spaces [PDF]

open access: yes, 2001
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
core   +1 more source

The Banach-Saks Properties in Orlicz-Lorentz Spaces

open access: yesAbstract and Applied Analysis, 2014
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
doaj   +1 more source

Linear isomorphic spaces of fractional-order difference operators

open access: yesAlexandria Engineering Journal, 2021
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
doaj   +1 more source

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