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GENERALIZED ORLICZ SEQUENCE SPACES
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
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Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces [PDF]
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
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Small operator ideals formed by s numbers on generalized Cesáro and Orlicz sequence spaces. [PDF]
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.
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Perturbation Method in Orlicz Sequence Spaces
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
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Seminormed double sequence spaces of four-dimensional matrix and Musielak–Orlicz function [PDF]
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
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The Modulus of Nearly Uniform Smoothness in Orlicz Sequence Spaces
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
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Spaces of Ideal Convergent Sequences [PDF]
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
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Multiplication Operators on Cesàro-Orlicz Sequence Spaces
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
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Some isomorphically polyhedral orlicz sequence spaces [PDF]
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
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On Orlicz Difference Sequence Spaces
: 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
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