Results 61 to 70 of about 202 (182)

A Choquet theory of Lipschitz‐free spaces

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 2, February 2026.
Abstract Let (M,d)$(M,d)$ be a complete metric space and let F(M)$\mathcal {F}({M})$ denote the Lipschitz‐free space over M$M$. We develop a ‘Choquet theory of Lipschitz‐free spaces’ that draws from the classical Choquet theory and the De Leeuw representation of elements of F(M)$\mathcal {F}({M})$ (and its bi‐dual) by positive Radon measures on βM ...
Richard J. Smith
wiley   +1 more source

Plank theorems and their applications: A survey

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley   +1 more source

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  

The Normalized Prabhakar Fractional Operator’s Boundedness Across Various Spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
A functional space called the Bloch space is made up of analytic functions on the unit disk in the complex plane. These functions provide a number of benefits and intriguing characteristics, as well as meeting specific growth requirements. In this notice, the boundedness of certain fractional integral operator in a class of Bloch spaces is investigated.
Rabha W. Ibrahim, Shikha Binwal
wiley   +1 more source

Embeddings of Banach Spaces Into Banach Lattices and the Gordon–Lewis Property

open access: yesPositivity, 2001
32 pages ...
Nielsen, Niels Jørgen   +1 more
openaire   +2 more sources

A Note on Spectral Sublinearity for Collections of Positive Compact Operators on Banach Lattices

open access: yesSpecial Matrices, 2018
In this paper we consider the question when a triangularizable semigroup S of positive compact ideal-triangularizable operators on an order continuous Banach lattice X is ideal-triangularizable.
Kandić M.
doaj   +1 more source

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

Characterization of Banach Lattices in Terms of Quasi-Interior Points

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2013
In terms of quasi-interior points, criteria that a Banach lattice has order continuous norm or is an -space with a unit are given. For example, if is Dedekind complete and has a weak order unit, then has order continuous norm if and only if the set of
Egor A. Alekhno
doaj   +1 more source

Differential inclusions of arbitrary fractional order with anti-periodic conditions in Banach spaces

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
In this paper, we establish various existence results of solutions for fractional differential equations and inclusions of arbitrary order $q\in (m-1,m)$, where $m$ is an arbitrary natural number greater than or equal to two, in infinite dimensional ...
JinRong Wang   +2 more
doaj   +1 more source

Statistical Order Convergence and Statistically Relatively Uniform Convergence in Riesz Spaces

open access: yesJournal of Function Spaces, 2018
A new concept of statistically e-uniform Cauchy sequences is introduced to study statistical order convergence, statistically relatively uniform convergence, and norm statistical convergence in Riesz spaces.
Xuemei Xue, Jian Tao
doaj   +1 more source

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