Results 61 to 70 of about 202 (182)
A Choquet theory of Lipschitz‐free spaces
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
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
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
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
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
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]
Jardón-Sánchez H +4 more
europepmc +1 more source
Characterization of Banach Lattices in Terms of Quasi-Interior Points
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
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
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

