Results 21 to 30 of about 54,384 (109)
A local Hahn–Banach theorem and its applications [PDF]
Archiv der Mathematik, 2018 An important consequence of the Hahn–Banach theorem says that on any locally convex Hausdorff topological space X, there are sufficiently many continuous linear functionals to separate points of X.
N. Gao, D. Leung, F. Xanthos
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Dimension free bounds for the vector-valued Hardy–Littlewood maximal operator [PDF]
Revista matemática iberoamericana, 2017 In this article, Fefferman-Stein inequalities in $L^p(\mathbb R^d;\ell^q)$ with bounds independent of the dimension $d$ are proved, for all $1 < p, q < + \infty.$ This result generalizes in a vector-valued setting the famous one by Stein for the ...
L. Deleaval, C. Kriegler
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Free Banach lattices over Banach spaces and ordered sets
, 2021 Objetivos de la tesis: El principal objetivo de la tesis es profundizar en el estudio de los retículos de Banach. Más concretamente, se trata de investigar cómo es la estructura de los retículos de Banach libres generados por espacios de Banach y conjuntos ordenados, si bien nos centramos en el caso particular de los conjuntos linealmente ordenados.
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Uniqueness of the maximal ideal of the Banach algebra of bounded operators on C([0,ω1]) [PDF]
, 2011 Let ω1 be the smallest uncountable ordinal. By a result of Rudin, bounded operators on the Banach space C([0,ω1) have a natural representation as [0,ω1]×[0,ω1]-matrices.
Tomasz Kania, N. Laustsen
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Unbounded Order Convergence and Application to Martingales without Probability [PDF]
, 2013 A net $(x_\alpha)_{\alpha\in \Gamma}$ in a vector lattice $X$ is unbounded order convergent (uo-convergent) to $x$ if $|x_\alpha-x| \wedge y \xrightarrow{o} 0$ for each $y \in X_+$, and is unbounded order Cauchy (uo-Cauchy) if the net $(x_\alpha-x_ ...
N. Gao, F. Xanthos
semanticscholar +1 more source
We study different versions of \emph{free objects} in the setting of quasi-Banach spaces and quasi-Banach lattices. Special attention is devoted to the free $p$-convex $p$-Banach lattice $\operatorname{FpBL}^{(p)}[E]$ generated by a $p$-natural quasi-Banach space $E$, for which we provide a functional representation by means of operators into $L_p[0,1]$
Salguero-Alarcón, Alberto +2 more
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The free Banach lattices generated by $\ell_p$ and $c_0$
, 2018 We prove that, when ...
Avilés, Antonio +2 more
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Free Banach lattices over pre-ordered Banach spaces
Major revison 36 ...
de Jeu, Marcel, Jiang, Xingni
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Order denseness in free Banach lattices
We prove a fundamental property: the free vector lattice $FVL[E]$ over a Banach space E is order dense in the free p-convex Banach lattice $FBL^{(p)}[E],~~1 ^leq p \leq \infty,$ if and only if E is finite-dimensional. In a recent work, Oikhberg, Tradacete, Taylor, and Troitsky claimed that order denseness holds for all Banach spaces. We point out a gap
Azouzi, Youssef, Dhifaoui, Wassim
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Periodic Lorentz gas with small scatterers. [PDF]
Probab Theory Relat Fields, 2023 Bálint P, Bruin H, Terhesiu D.
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