Results 81 to 90 of about 2,619,038 (184)

Riesz–Thorin Interpolation Theorem of Noncommutative Orlicz Sequence Spaces and Some Geometric Properties

open access: yesAxioms
Based on the new concept of 2-tuples of noncommutative Orlicz sequence spaces, we establish the Riesz–Thorin interpolation theorem. As applications, bounds for the nonsquare and von Neumann–Jordan constants of the noncommutative Orlicz space are given.
Zhenhua Ma, Lining Jiang
doaj   +1 more source

Some sequence spaces of fuzzy numbers defined by Orlicz function

open access: yesActa Scientiarum: Technology, 2015
In this article we introduce some fuzzy sequence spaces defined by Orlicz function and study different properties of these spaces like completeness, symmetricity etc. We establish some inclusion results among them.
Bipul Sarma
doaj   +1 more source

Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β)

open access: yesJournal of Function Spaces, 2018
We first define the notion of lacunary statistical convergence of order (α,β), and taking this notion into consideration, we introduce some seminormed difference sequence spaces over n-normed spaces with the help of Musielak-Orlicz function M=(Mk) of ...
S. A. Mohiuddine   +2 more
doaj   +1 more source

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.
Raj, Kuldip   +2 more
openaire   +2 more sources

Criteria for $k_M<\infty$ in Musielak-Orlicz spaces

open access: yes, 2001
summary:In this paper, some necessary and sufficient conditions for $\sup \{k_x:\|x\|^0=1\}< \infty $ in Musielak-Orlicz function spaces as well as in Musielak-Orlicz sequence spaces are ...
Cao, Lianying, Wang, Tingfu
core   +1 more source

Copies of $l^1$ and $c_o$ in Musielak-Orlicz sequence spaces [PDF]

open access: yes, 1994
summary:Criteria in order that a Musielak-Orlicz sequence space $l^\Phi$ contains an isomorphic as well as an isomorphically isometric copy of $l^1$ are given. Moreover, it is proved that if $\Phi = (\Phi_i)$, where $\Phi_i$ are defined on a Banach space,
Alherk, Ghassan, Hudzik, Henryk
core   +1 more source

A Class of Sequences Defined by Weak Ideal Convergence and Musielak-Orlicz Function

open access: yesAbstract and Applied Analysis, 2014
We introduced the weak ideal convergence of new sequence spaces combining an infinite matrix of complex numbers and Musielak-Orlicz function over normed spaces. We also study some topological properties and inclusion relation between these spaces.
Awad A. Bakery
doaj   +1 more source

Some isomorphically polyhedral orlicz sequence spaces [PDF]

open access: yesIsrael Journal of Mathematics, 1994
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 is $c_0$-saturated, i.e., each closed infinite dimensional subspace contains an isomorph of $c_0$.
openaire   +2 more sources

Topologies in generalized Orlicz sequence spaces

open access: yes, 2011
In 1994 S. D. Parashar and B. Choudhary defined certain paranorms in some Orlicz sequence spaces of Maddox type. Their ideas are applied later by many authors for topologization of various generalized Orlicz sequence spaces.
Enno Kolk
core   +1 more source

λ-Properties of Orlicz sequence spaces [PDF]

open access: yes, 1994
It is proved that every Orlicz sequence space has the λ-property. Criteria for the uniform λ-property in Orlicz sequence spaces, with Luxemburg norm and Orlicz norm, are ...
Chen, Shutao, Sun, Huiying
core  

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