Results 31 to 40 of about 11,294 (215)

A Note on Local Polynomial Regression for Time Series in Banach Spaces

open access: yesJournal 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
wiley   +1 more source

Ordered Variational Inequalities and Ordered Complementarity Problems in Banach Lattices

open access: yesAbstract 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
doaj   +1 more source

Introduce gradual Banach lattices and Hyers stability [PDF]

open access: yesMathematics and Computational Sciences
The 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
doaj   +1 more source

Banach Lattice Structures and Concavifications in Banach Spaces

open access: yesMathematics, 2020
Let ( Ω , Σ , μ ) be a finite measure space and consider a Banach function space Y ( μ ) . We say that a Banach space E is representable by Y ( μ ) if there is a continuous bijection I : Y ( μ ...
Lucia Agud   +3 more
doaj   +1 more source

Convergence properties of dynamic mode decomposition for analytic interval maps

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.
Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji   +3 more
wiley   +1 more source

On the lower semi-continuity of the set valued metric projection

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
The lower semi-continuity of best approximation operators from Banach lattices on to closed ideals is investigated. Also the existence of best approximation to sub-function modules of function modules is proved. The order intersection properties of cells
Fowzi Ahmad Sejeeni
doaj   +1 more source

Unbounded order convergence in dual spaces [PDF]

open access: yes, 2017
A net $(x_\alpha)$ in a vector lattice $X$ is said to be {unbounded order convergent} (or uo-convergent, for short) to $x\in X$ if the net $(\abs{x_\alpha-x}\wedge y)$ converges to 0 in order for all $y\in X_+$.
Gao, Niushan
core  

On Multilevel Energy‐Based Fragmentation Methods

open access: yesInternational Journal of Quantum Chemistry, Volume 126, Issue 3, January 30, 2026.
We investigate the working equations of energy‐based fragmentation methods and present ML‐SUPANOVA, a Möbius‐inversion‐based multilevel fragmentation scheme that enables adaptive, quasi‐optimal truncations to efficiently approximate Born‐Oppenheimer potentials across hierarchies of electronic‐structure methods and basis sets.
James Barker   +2 more
wiley   +1 more source

Vector and Ordered Variational Inequalities and Applications to Order-Optimization Problems on Banach Lattices

open access: yesJournal of Applied Mathematics, 2013
We investigate the connections between vector variational inequalities and ordered variational inequalities in finite dimensional real vector spaces.
Linsen Xie, Jinlu Li, Wenshan Yang
doaj   +1 more source

Free complex Banach lattices

open access: yesJournal of Functional Analysis, 2023
The construction of the free Banach lattice generated by a real Banach space is extended to the complex setting. It is shown that for every complex Banach space $E$ there is a complex Banach lattice $FBL_{\mathbb C}[E]$ containing a linear isometric copy of $E$ and satisfying the following universal property: for every complex Banach lattice $X_ ...
David de Hevia, Pedro Tradacete
openaire   +4 more sources

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