Results 1 to 10 of about 993,497 (147)

Nonsquareness and Locally Uniform Nonsquareness in Orlicz-Bochner Function Spaces Endowed with Luxemburg Norm [PDF]

Journal of Inequalities and Applications, 2011
Criteria for nonsquareness and locally uniform nonsquareness of Orlicz-Bochner function spaces equipped with Luxemburg norm are given. We also prove that, in Orlicz-Bochner function spaces generated by locally uniform nonsquare Banach space ...
Cui Yunan, Shang Shaoqiang, Fu Yongqiang
doaj   +5 more sources

Luxemburg Norm Characterizations of BLO Spaces in General Metric Measure Frameworks

Mathematics
This study provides new equivalent descriptions of the Bounded Lower Oscillation (BLO) space through Luxemburg-type Lφ integrability conditions, where φ is a nonnegative function with either convexity or concavity.
Liping Yang, Xin Jiang
doaj   +3 more sources

Uniformly non-$l_{n}^{(1)}$ Orlicz spaces with Luxemburg norm [PDF]

Studia Mathematica, 1985
It is given a criterion of uniformly non-\(\ell_ n^{(1)}\) Orlicz spaces simpler than one given by \textit{K. Sundaresan} in Isr. J. Math. 3(1965), 139-146 (1966; Zbl 0146.369). This is done in the case of a non-atomic (finite or infinite) as well as of a purely atomic measure.
H. Hudzik
openaire   +3 more sources

M-constants in Orlicz Spaces Equipped with the Luxemburg Norm

Journal of Harbin University of Science and Technology, 2022
Riesz angle μ2(x)is an important geometric constant in Banach lattice spaces, which is closely related to the fixed point properties of spaces. In this paper, the M-constants of Orlicz function spaces and Orlicz sequence spaces equipped with Luxemburg ...
WANG Zi-xuan, CUI Yun-an, WANG Jing
doaj   +2 more sources

Extreme points of the Besicovitch--Orlicz space of almost periodic functions equipped with the Luxemburg norm

Commentationes Mathematicae Universitatis Carolinae, 2021
Summary: We investigate which points in the unit sphere of the Besicovitch-Orlicz space of almost periodic functions, equipped with the Luxemburg norm, are extreme points. Sufficient conditions for the strict convexity of this space are also given.
Hassaine, Slimane, Boulahia, Fatiha
openaire   +2 more sources

Locally Nearly Uniformly Convex Points in Orlicz Spaces Equipped with the Luxemburg Norm

Axioms
This research explores two novel geometric concepts—nearly convex points and locally nearly uniformly convex points within the frameworks of Banach spaces and Orlicz spaces equipped with the Luxemburg norm.
Yunan Cui, Xiaoxia Wang, Yaoming Niu
doaj   +2 more sources

Sub Nearly Uniformly Convex of Orlicz Sequence Spaces Equipped with Luxemburg Norm

Journal of Harbin University of Science and Technology, 2022
Nearly uniform noncreasy is a important property in Banach spaces. In this paper we introduce a new geometric property, which is called sub nearly uniformly convex property.
Cui Yun-an, Dai Ming-jun
doaj   +2 more sources

Monotonicity and best approximation in Orlicz–Sobolev spaces with the Luxemburg norm

Journal of Mathematical Analysis and Applications, 2008
Let \(\Omega\) be a bounded and connected open subset of \(\mathbb{R}^{n}\), and let \((\Omega,\Sigma,\mu)\) be a nonatomic finite measure space. The modular of a measurable function \(u\) on \(\Omega\) is defined by \(\rho_{A}(u)=\int_{\Omega }A(u(t))\,dt\), where \(A(u)\) is a given \(N\)-function. The Orlicz space is \(L_{A}(\Omega )=\{u(t):\) there\
Chen, Shutao, He, Xin, Hudzik, Henryk, Kamińska, Anna   +3 more
openaire   +3 more sources

Packing Constant in Musielak-Orlicz Sequence Spaces Equipped with the Luxemburg Norm

Revista Matemática Complutense, 1994
Summary: A more precise formula for the Kottman parameter \(D(X)\) connected with the packing constant \(\Lambda(X)\) in such a way that \(\Lambda(X)= D(X)/(2+ D(X))\) for a Banach space \(X\), in the case when \(X\) is a Musielak-Orlicz sequence space \(\ell^ \varphi\), is given. As a corollary, the packing constant of the Nakano space \(\ell^{(p_ i)}\
Hudzik, Henryk, Wu, Congxin, Ye, Yining
openaire   +4 more sources

Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm [PDF]

Colloquium Mathematicum, 1993
The paper gives criteria for smoothness of points in the unit sphere of Musielak-Orlicz sequence spaces. Let \(\varPhi=(\varPhi)_i\) be a Musielak-Orlicz function, \(\ell^{\varPhi}\) the corresponding Musielak-Orlicz sequence space endowed with the Luxemburg norm \(\|.\|\), let \(S(\ell^{\varPhi})\) be the unit sphere in \(\ell^{\varPhi}\), and \(h ...
Hudzik, Henryk, Zbąszyniak, Zenon
openaire   +3 more sources