Results 61 to 70 of about 1,449 (232)
Abstract The entropic doubling σent[X]$$ {\sigma}_{\mathrm{ent}}\left[X\right] $$ of a random variable X$$ X $$ taking values in an abelian group G$$ G $$ is a variant of the notion of the doubling constant σ[A]$$ \sigma \left[A\right] $$ of a finite subset A$$ A $$ of G$$ G $$, but it enjoys somewhat better properties; for instance, it contracts upon ...
Ben Green, Freddie Manners, Terence Tao
wiley +1 more source
An absolute continuity for positive operators on Banach lattices
For positive operators on a Banach lattice, absolute contnuity conditions are considered. An operator absolutely continuous with respect to T is compared to sums of compositions of T together with orthomorphisms or in special cases projections ...
W. Feldman +2 more
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An operator T on a Banach space E is said to be ergodic, provided the averages 1/n\(\sum^{bn-1}_{k=0}T^ kx\) converge in norm for each \(x\in E.\) Assume that E is a Banach lattice satisfying either of the following two conditions: (i) E is Dedekind \(\sigma\)-complete, or (ii) E has a topological orthogonal system.
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Abstract This contribution is concerned with the well‐posedness and homogenization of an ordinary differential equation (ODE) of Arrhenius‐type coupled with a doubly nonlinear parabolic partial differential equation (PDE) with rapidly oscillating coefficients and taking into account disparate diffusion‐reaction time scales, including regularly as well ...
Michal Beneš +2 more
wiley +1 more source
We obtained a generalization of the stability of some Banach lattice-valued functional equation with the addition replaced in the Cauchy functional equation by lattice operations and their combinations.
Nutefe Kwami Agbeko, Patrícia Szokol
doaj
We investigate the structure of the free p -convex Banach lattice {\mathrm{FBL}}^{(p)}[E] over a Banach space E .
Timur Oikhberg +3 more
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ℓp$\ell ^p$ metrics on cell complexes
Abstract Motivated by the observation that groups can be effectively studied using metric spaces modelled on ℓ1$\ell ^1$, ℓ2$\ell ^2$ and ℓ∞$\ell ^\infty$ geometry, we consider cell complexes equipped with an ℓp$\ell ^p$ metric for arbitrary p$p$. Under weak conditions that can be checked locally, we establish non‐positive curvature properties of these
Thomas Haettel, Nima Hoda, Harry Petyt
wiley +1 more source
The Köthe Dual of an Abstract Banach Lattice
We analyze a suitable definition of Köthe dual for spaces of integrable functions with respect to vector measures defined on δ-rings. This family represents a broad class of Banach lattices, and nowadays it seems to be the biggest class of spaces ...
E. Jiménez Fernández +2 more
doaj +1 more source
Banach lattices of homogeneous polynomials not containing $c_0$ [PDF]
Geraldo Botelho +2 more
openalex +1 more source
A Banach lattice E (over the field of reals) is said to be injective if, for every Banach lattice G, every closed linear sublattice F of G and every positive linear operator u: F--*E, there is a positive linear extension v: G . E with IIv[I = Ilull.
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