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GENERALIZED ORLICZ SEQUENCE SPACES

open access: yesBarekeng, 2023
Orlicz spaces were first introduced by Z. W. Birnbaum and W. Orlicz as an extension of Labesgue space in 1931. There are two types of Orlicz spaces, namely continuous Orlicz spaces and Orlicz sequence spaces.
Cece Kustiawan   +5 more
doaj   +3 more sources

Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces [PDF]

open access: yesJournal of Inequalities and Applications, 2018
We introduce new classes of generalized Orlicz-Garling sequences and Orlicz-Lorentz sequences by using a sequence of Orlicz functions and difference operator.
Charu Sharma   +3 more
doaj   +5 more sources

Small operator ideals formed by s numbers on generalized Cesáro and Orlicz sequence spaces. [PDF]

open access: yesJ Inequal Appl, 2018
In this article, we establish sufficient conditions on the generalized Cesáro and Orlicz sequence spaces E$\mathbb{E}$ such that the class SE$S_{\mathbb{E}}$ of all bounded linear operators between arbitrary Banach spaces with its sequence of s-numbers ...
Faried N, Bakery AA.
europepmc   +2 more sources

Perturbation Method in Orlicz Sequence Spaces

open access: yesSet-Valued and Variational Analysis, 2023
We develop a new perturbation method in Orlicz sequence spaces ℓM\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\
Hristina Topalova, N. Zlateva
semanticscholar   +4 more sources

Seminormed double sequence spaces of four-dimensional matrix and Musielak–Orlicz function [PDF]

open access: yesJournal of Inequalities and Applications, 2018
In this paper we study seminormed double sequence spaces of a four-dimensional matrix and Musielak–Orlicz function over n-normed spaces. We explore some interesting inclusion relations, algebraic and topological properties of these spaces.
Renu Anand, Charu Sharma, Kuldip Raj
doaj   +2 more sources

The Modulus of Nearly Uniform Smoothness in Orlicz Sequence Spaces

open access: yesJournal of Function Spaces, 2019
It is well known that the modulus of nearly uniform smoothness related with the fixed point property is important in Banach spaces. In this paper, we prove that the modulus of nearly uniform smoothness in Köthe sequence spaces without absolutely ...
Shaoyong Zhang   +2 more
doaj   +2 more sources

Spaces of Ideal Convergent Sequences [PDF]

open access: yesThe Scientific World Journal, 2014
In the present paper, we introduce some sequence spaces using ideal convergence and Musielak-Orlicz function ℳ=Mk. We also examine some topological properties of the resulting sequence spaces.
M. Mursaleen, Sunil K. Sharma
doaj   +2 more sources

Multiplication Operators on Cesàro-Orlicz Sequence Spaces

open access: yesFasciculi Mathematici, 2016
AbstractIn this paper, we characterize the compact, invertible, Fredholm and closed range multiplication operators on Cesàro-Orlicz sequence spaces.
K. Raj, C. Sharma, S. Pandoh
semanticscholar   +3 more sources

Some isomorphically polyhedral orlicz sequence spaces [PDF]

open access: yesIsrael Journal of Mathematics, 1993
A Banach space is polyhedral if the unit ball of each of its finite dimensional subspaces is a polyhedron. It is known that a polyhedral Banach space has a separable dual and isc0-saturated, i.e., each closed infinite dimensional subspace contains an ...
D. Leung
semanticscholar   +3 more sources

On Orlicz Difference Sequence Spaces

open access: yesSüleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2010
: The main aim of this article is to generalize the famous Orlicz sequence space by using difference operators and a sequence of non-zero scalars and investigate some topological structure relevant to this generalized space.
Hemen Dutta
doaj   +4 more sources

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