Results 91 to 100 of about 4,293,985 (168)

Integration in Orlicz-Bochner Spaces [PDF]

open access: yesJournal of Function Spaces, 2018
Let (Ω,Σ,μ) be a complete σ-finite measure space, φ be a Young function, and X and Y be Banach spaces. Let Lφ(X) denote the Orlicz-Bochner space, and Tφ∧ denote the finest Lebesgue topology on Lφ(X). We study the problem of integral representation of (Tφ∧,·Y)-continuous linear operators T:Lφ(X)→Y with respect to the representing operator-valued ...
openaire   +3 more sources

Composition of Operators in Orlicz Spaces

open access: yesRocky Mountain Journal of Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bongioanni, B., Harboure, E.
openaire   +3 more sources

Groups of isometries on Orlicz spaces [PDF]

open access: yesPacific Journal of Mathematics, 1973
1* Introduction* Let X be a real or complex Orlicz space of functions on an atomic measure space; an additional (not very restrictive) condition will be imposed on X which implies in particular that X Φ L°°. If X is a Hubert space, there are numerous strongly continuous one parameter groups of isometries on X, according to a classical theorem of M.
openaire   +2 more sources

Approximation results in Orlicz spaces by modified sampling Kantorovich operators

open access: yesDemonstratio Mathematica
This paper deals with the modified sampling Kantorovich operators. We start by presenting the primary notations of Orlicz spaces and fundamental auxiliary results.
Turgay Metin
doaj   +1 more source

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

Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm

open access: yesAbstract and Applied Analysis, 2014
The problem of packing spheres in Orlicz sequence space lΦ,p equipped with the p-Amemiya norm is studied, and a geometric characteristic about the reflexivity of lΦ,p is obtained, which contains the relevant work about lp  (p>1) and classical Orlicz ...
Xin He, Jijie Yu, Yunan Cui, Xin Huo
doaj   +1 more source

A Continuous Basis for Orlicz Spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1969
1. In 1910 Haar created the orthonormal system that bears his name in order to show that there are ON systems with respect to which the Fourier series of each continuous function converges uniformly to the function. The Haar functions are themselves discontinuous, however, and this led Franklin to construct a continuous ON set that plays the same role.
openaire   +1 more source

EKSTRAKSI RUANG ORLICZ [PDF]

open access: yes, 2014
Ruang Orlicz ( ) telah diperkenalkan oleh Z.W. Birnbaum dan W. Orlicz pada sekitar tahun 1931. Ruang Orlicz merupakan salah satu contoh ruang Banach yang dikatakan sebagai perluasan dari ruang , . Rao dan Ren [4] mengembangkan teori ruang Orlicz pada
Al Hazmy, Sofihara
core  

On some convexity properties in the Besicovitch-Musielak-Orlicz space of almost periodic functions with Luxemburg norm [PDF]

open access: yes, 1971
summary:In this article, it is shown that geometrical properties such as local uniform convexity, mid point local uniform convexity, H-property and uniform convexity in every direction are equivalent in the Besicovitch-Musielak-Orlicz space of almost ...
Daoui, Amina   +5 more
core   +1 more source

Continuity and essential norm of operators defined by infinite tridiagonal matrices in weighted Orlicz and l∞ spaces

open access: yesOpen Mathematics
In this article, we provide a comprehensive study on the continuity and essential norm of an operator defined by an infinite tridiagonal matrix, specifically when it operates from a weighted Orlicz sequence space or a weighted l∞{l}^{\infty } space into ...
Ramos-Fernández Julio C.   +2 more
doaj   +1 more source

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