Results 101 to 110 of about 188,291 (210)

Dichotomies with No Invariant Unstable Manifolds for Autonomous Equations

Journal of Function Spaces and Applications, 2012
We analyze the existence of (no past) exponential dichotomies for a well-posed autonomous differential equation (that generates a C0-semigroup {𝑇(𝑡)}𝑡≥0).
Răzvan O. Moşincat, Ciprian Preda, Petre Preda   +2 more
doaj   +1 more source

Lucas difference sequence spaces defined by Orlicz function in 2-normed spaces

Demonstratio Mathematica
In this article, we introduce new sequence spaces defined via an Orlicz function within the framework of a 2-normed space and incorporating the Lucas difference matrix and its associated matrix domain.
Cai Qing-Bo, Kumar Ravi, Sharma Sunil K., Sharma Ajay K.   +3 more
doaj   +1 more source

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 ...
openaire   +2 more sources

Tensorial Maclaurin Approximation Bounds and Structural Properties for Mixed-Norm Orlicz–Zygmund Spaces

Mathematics
This article explores two distinct function spaces: Hilbert spaces and mixed-Orlicz–Zygmund spaces with variable exponents. We first examine the relational properties of Hilbert spaces in a tensorial framework, utilizing self-adjoint operators to derive ...
Waqar Afzal, Mujahid Abbas, Mutum Zico Meetei, Saïd Bourazza   +3 more
doaj   +1 more source

Relative Uniform Convergence of Quantum Difference Sequence of Functions Related to ℓp-Space Defined by Orlicz Function

Annales Mathematicae Silesianae
The sequence spaces ruℓ∞(𝒪, ∇q), ruℓp(𝒪, ∇q), ruc(𝒪, ∇q), ruc0(𝒪, ∇q), rumϕ(𝒪, ∇q, p), runϕ(𝒪, ∇q, p), rumϕ(𝒪, ∇q), runϕ(𝒪, ∇q) are defined by the Orlicz function in this article.
Debbarma Diksha, Tripathy Binod Chandra
doaj   +1 more source

Several Geometric Properties in Banach Spaces and Their Further Application in Orlicz Spaces

Axioms
In this paper, locally nearly uniformly convex (LNUC) is studied in Banach space. Furthermore, the implication relationship between (LNUC) and the Kadec–Klee property (KK), the fixed–point property (FPP) are investigated in Banach space.
Xiaoxia Wang, Yunan Cui, Yaoming Niu
doaj   +1 more source

A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I. [PDF]

Rev Mat Complut, 2023
Comi GE, Stefani G.
europepmc   +1 more source

COMPACTNESS OF OPERATORS ACTING FROM AN ORLICZ SEQUENCE SPACE TO A LORENTZ SEQUENCE SPACE

Proceedings of the Estonian Academy of Sciences : Physics, Mathematics, 1999
J. Ausekle
semanticscholar   +1 more source

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, Ondřej Kurka
openaire   +2 more sources

Strict convexity of sequence Orlicz-Musielak spaces with Orlicz norm

Journal of Functional Analysis, 1983
AbstractH. Milnes gave in (Pacific J. Math. 18 (1957), 1451–1483) a criterion for strict convexity of Orlicz spaces with respect to the so called Orlicz norm, in the case of nonatomic measure and a usual Young function. Here there are presented necessary and sufficient conditions for strict convexity of Orlicz-Musielak spaces (J. Musielak and W. Orlicz,
openaire   +2 more sources