Results 21 to 30 of about 202 (182)
Martingale-like sequences in Banach lattices
Modern Stochastics: Theory and Applications, 2018 Martingale-like sequences in vector lattice and Banach lattice frameworks are defined in the same way as martingales are defined in [Positivity 9 (2005), 437–456].
Haile Gessesse, Alexander Melnikov
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Komlós properties in Banach lattices [PDF]
Acta Mathematica Hungarica, 2018 Several Komlós like properties in Banach lattices are investigated. We prove that $C(K)$ fails the $oo$-pre-Komlós property, assuming that the compact Hausdorff space $K$ has a nonempty separable open subset $U$ without isolated points such that every $u\in U$ has countable neighborhood base.
Emelyanov, E. Y. +2 more
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Free and projective Banach lattices [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2015 We define and prove the existence of free Banach lattices in the category of Banach lattices and contractive lattice homomorphisms, and establish some of their fundamental properties. We give much more detailed results about their structure in the case when there are only a finite number of generators, and give several Banach lattice characterizations ...
Wickstead, Anthony, de Pagter, Ben
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On the Quotients of Regular Operators
Universal Journal of Mathematics and Applications, 2019 We give some results about quotients of regular operators on Banach lattices by the linear span of the positive M-weakly and positive L-weakly compact operators.
Erdal Bayram +1 more
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On the positive Dimant strongly $p$-summing multilinear operators
Karpatsʹkì Matematičnì Publìkacìï, 2020 In 2003, Dimant V. has defined and studied the interesting class of strongly $p$-summing multilinear operators. In this paper, we introduce and study a new class of operators between two Banach lattices, where we extend the previous notion to the ...
A. Bougoutaia, A. Belacel, H. Hamdi
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A Note on Local Polynomial Regression for Time Series in Banach Spaces
Journal of Time Series Analysis, EarlyView.ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
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Renorming Dual Banach Lattices [PDF]
Proceedings of the American Mathematical Society, 1982 We show that a Banach lattice is order continuous as well as its dual if and only if it admits an equivalent Fréchet differentiable and locally uniformly convex lattice norm such that its dual norm is also locally uniformly convex.
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Ordered Variational Inequalities and Ordered Complementarity Problems in Banach Lattices
Abstract and Applied Analysis, 2013 We introduce the concepts of ordered variational inequalities and ordered complementarity problems with both domain and range in Banach lattices. Then we apply the Fan-KKM theorem and KKM mappings to study the solvability of these problems.
Jinlu Li, Ching-Feng Wen
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Introduce gradual Banach lattices and Hyers stability [PDF]
Mathematics and Computational SciencesThe main objective of this article is to introduce gradual normed Riesz spaces and their properties. In fact, by adding a property to gradual normed spaces as discussed in reference [20], we have defined the gradual Banach lattices. Next, we focus on the
Ehsan Movahednia
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