Results 11 to 20 of about 2,619,038 (184)

Packing constant for Cesàro-Orlicz sequence spaces [PDF]

open access: yesCzechoslovak Mathematical Journal, 2016
Let \(X\) be a Banach space and \(B(X)\), \(S(X)\) denote the unit ball and the unit sphere of \(X\), respectively. A sequence of balls with centers at \(x_1, x_2, \dots\) in \(X\) and a fixed radius \(r>0\) is said to be packed into the unit ball if the following two conditions hold: (i) \(\|x_n\|\leq 1 -r\), \(n = 1, 2, \dots\); (ii) \(\|x_n-x_m ...
Ma, Zhen-Hua   +2 more
openaire   +3 more sources

Property ( k) of Orlicz Sequence Spaces

open access: yesJournal of Harbin University of Science and Technology, 2017
Property ( k) is an important geometric property in Banach spaces,and it is closely associated with fixed point property. By the geometric theory of Banach spaces and Orlicz spaces, we investigated the characterization for property( k) in a special ...
ZUO Ming-xia, PENG Li-na
doaj   +2 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

Packing in Orlicz sequence spaces [PDF]

open access: yesStudia Mathematica, 1997
Let \(X=(X,\| \|)\) be a Banach space with unit ball \(U(X)\).
Rao, M. M., Ren, Z. D.
openaire   +3 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

Perturbation Method in Orlicz Sequence Spaces [PDF]

open access: yesSet-Valued and Variational Analysis, 2023
We develop a new perturbation method in Orlicz sequence spaces $\ell_M$ with Orlicz function $M$ satisfying $Δ_2$ condition at zero. This result allows one to support from below any bounded below lower semicontinuous function with bounded support, with a perturbation of the defining function $σ_M$.
Hristina Topalova, Nadia Zlateva
openaire   +4 more sources

Sequence Spaces Defined by Musielak-Orlicz Function over -Normed Spaces [PDF]

open access: yesAbstract and Applied Analysis, 2013
In the present paper we introduce some sequence spaces over n-normed spaces defined by a Musielak-Orlicz function . We also study some topological properties and prove some inclusion relations between these spaces.
M. Mursaleen   +2 more
doaj   +2 more sources

Norms of certain operators on weighted L-spaces and Lorentz sequence spaces. [PDF]

open access: yes, 2002
The problem addressed is the exact determination of the norms of the classical Hilbert, Copson and averaging operators on weighted spaces and the corresponding Lorentz sequence spaces , with the power weighting sequence or the variant defined by .
Jameson, Graham J. O., Lashkaripour, R.
core   +4 more sources

Orlicz arithmetic convergence defined by matrix transformation and lacunary sequence [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2020
In this paper we introduce and study some spaces of Orlicz arithmetic convergence sequences with respect to matrix transformation and lacunary sequence.
Kuldip Raj, Anu Choudhary
doaj   +1 more source

Asymptotically isometric copies of c_{0} in Musielak-Orlicz spaces [PDF]

open access: yesOpuscula Mathematica, 2014
Criteria in order that a Musielak-Orlicz function space \(L^\Phi\) as well as Musielak-Orlicz sequence space \(l^\Phi\) contains an asymptotically isometric copy of \(c_0\) are given. These results extend some results of [Y.A. Cui, H. Hudzik, G. Lewicki,
Agata Narloch, Lucjan Szymaszkiewicz
doaj   +1 more source

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