Results 11 to 20 of about 182,902 (194)

Inclusion Mappings between Orlicz Sequence Spaces

Journal of Functional Analysis, 2000
It is shown that if \(\ell_\varphi\) is an Orlicz sequence space, then the space \(\ell^w_1(\ell_\varphi)\) of weakly summable sequences in \(\ell_\varphi\) is continuously embedded into \(\ell_\varphi(\ell_2)\) (resp., into \(\ell_\varphi(\ell_\varphi)\)) whenever \(t\mapsto\varphi(\sqrt t)\) is equivalent to a concave function (resp.
L. Maligranda, M. Mastyło
semanticscholar   +3 more sources

On the James constant and B-convexity of Cesàro and Cesàro–Orlicz sequence spaces

Journal of Mathematical Analysis and Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
L. Maligranda, N. Petrot, S. Suantai
semanticscholar   +3 more sources

On Generalized Orlicz Sequence Spaces Defined by Double Sequences

Fasciculi Mathematici, 2015
Abstract S.D. Parashar and B. Choudhary defined in 1994 certain paranorms for some Orlicz sequence spaces. Their ideas are applied later for topologization of various generalized Orlicz sequence spaces. The author determines in 2011 some alternative F-seminorms (which are also paranorms) for such spaces. In this paper these results are extended to
E. Kolk
semanticscholar   +2 more sources

Topologies in generalized Orlicz sequence spaces

Filomat, 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. We determine alternative F-seminorms in such spaces by using the standard arguments of modular spaces theory and a ...
E. Kolk
semanticscholar   +3 more sources

Contractive projections in Orlicz sequence spaces [PDF]

Abstract and Applied Analysis, 2004
We characterize norm-one complemented subspaces of Orlicz sequence spaces ℓM equipped with either Luxemburg or Orlicz norm, provided that the Orlicz function M is sufficiently smooth and sufficiently different from the square function.
Beata Randrianantoanina
doaj   +4 more sources

The ergodicity of Orlicz sequence spaces

Journal of Functional Analysis
We prove that non-Hilbertian separable Orlicz sequence spaces are ergodic, i.e., the equivalence relation $\mathbb{E}_0$ Borel reduces to the isomorphism relation between subspaces of every such space. This is done by exhibiting non-Hilbertian asymptotically Hilbertian subspaces in those spaces, and appealing to a result by Anisca.
Noé de Rancourt, O. Kurka
semanticscholar   +3 more sources

Entropy numbers of diagonal operators on Orlicz sequence spaces [PDF]

Mathematische Nachrichten, 2021
Let M1 and M2 be functions on [0,1] such that M1(t1/p) and M2(t1/p) are Orlicz functions for some p∈(0,1] . Assume that M2−1(1/t)/M1−1(1/t) is non‐decreasing for t≥1 . Let (αi)i=1∞ be a non‐increasing sequence of nonnegative real numbers.
Thanatkrit Kaewtem, Y. Netrusov
semanticscholar   +1 more source

β Property in Orlicz Sequence Spaces Equipped with s-norm

Journal of Harbin University of Science and Technology, 2022
Orlicz spaces equipped with s-norm is an extension of Orlicz spaces. In order to studing the H property and the property β in Orlicz space equipped with s-norm，some basic properties of the s-norm are discussed firstly.
CUI Yun-an, DONG Jia-qi
doaj   +1 more source

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   +1 more source

Kadec-klee Property in Musielak-Orlicz of Sequence Space Equipped with p-Amemiya Norm

Journal of Harbin University of Science and Technology, 2021
As we known, H property is a imp01tant property in theory of Banach spaces. It closly connects with the approximation compactness and fixed point prope1ty of nonexpansive mapping. ln this paper, we give necessai-y and sufficient conditions for a point in
ZHAO Li, CUI Yun-an
doaj   +1 more source