Results 71 to 80 of about 321 (179)

Characterization of Best Approximation Points with Lattice Homomorphisms

open access: yesJournal of Mathematical Extension, 2014
In this paper we prove some characterization theorems in the theory of best approximation in Banach lattices. We use a new idea for finding the best approximation points in an ideal.
H. R. Khademzadeh, H. Mazaheri
doaj  

Banach Lattices

open access: yes, 2023
The main goal of this thesis is to find conditions, under which, Banach Lattices are isomorphic either to C(K), where K is compact, or to L1(μ), with respect to the measure μ. In Chapter 1, we give some basic notations and definitions for vector lattices.
openaire   +1 more source

Finite Dimensional Chebyshev Subspaces of Lo

open access: yesSultan Qaboos University Journal for Science, 2017
If A is a subset of the normed linear space X, then A is said to be proximinal in X if for each xÎX there is a point y0ÎA such that the distance between x and A; d(x, A) = inf{||x-y||: yÎA}= ||x­-y0||.
Aref K. Kamal
doaj   +1 more source

Nonvanishing Preservers and Compact Weighted Composition Operators between Spaces of Lipschitz Functions

open access: yesAbstract and Applied Analysis, 2013
We will give the -Lipschitz version of the Banach-Stone type theorems for lattice-valued -Lipschitz functions on some metric spaces. In particular, when and are bounded metric spaces, if is a nonvanishing preserver, then is a weighted composition ...
Dongyang Chen   +3 more
doaj   +1 more source

Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems

open access: yesAbstract and Applied Analysis, 2014
Using fixed point theorems in ordered Banach spaces with the lattice structure, we consider the existence of nontrivial solutions under the condition that the nonlinear term can change sign and study the existence of sign-changing solutions for some ...
Hongyu Li
doaj   +1 more source

Periodic Lorentz gas with small scatterers. [PDF]

open access: yesProbab Theory Relat Fields, 2023
Bálint P, Bruin H, Terhesiu D.
europepmc   +1 more source

Sätze vom Bohman-Korovkin-Typ für lokalkonvexe Vektorverbände

open access: yesJournal of Numerical Analysis and Approximation Theory, 2015
Two Korovkin-type theorems inspired by the work of Scheffold are given concerning the approximation of a continuous lattice homomorphism \(P\) by a sequence of certain positive linear operators \(T_n\). The first result is used to prove a generalization
Heiner Gonska
doaj   +2 more sources

Free Banach lattices under convexity conditions. [PDF]

open access: yesRev R Acad Cienc Exactas Fis Nat A Mat, 2022
Jardón-Sánchez H   +4 more
europepmc   +1 more source

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