Results 21 to 30 of about 112 (106)
Hahn-Banach Theorem in Vector Spaces
. In this paper we introduce a new extension to Hahn-Banach Theorem and consider its relation with the linear operatres.
M. R. Haddad, H. Mazaheri
doaj
Identification and Estimation of Large Network Games with Private Link Information
ABSTRACT We study the identification and estimation of large network games in which individuals choose continuous actions while holding private information about their links and payoffs. Extending the framework of Galeotti et al., we build a tractable empirical model of such network games and show that the parameters in individual payoffs are ...
Hülya Eraslan, Xun Tang
wiley +1 more source
A HAHN-BANACH EXTENSION THEOREM FOR ENTIRE FUNCTIONS OF NUCLEAR TYPE
Let \(E\) be a nuclear space and \(F\) be a Banach space, both over the complex numbers. Let \(f\) be a holomorphic map from \(E\) to \(F\). It is shown that \(f\) is of uniformly bounded type if and only if, for an arbitrary locally convex space \(G\) containing \(E\) as a closed subspace, \(f\) can be extended to a holomorphic map from \(F\) to \(G\).
openaire +3 more sources
Potential trace inequalities via a Calderón‐type theorem
Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula +2 more
wiley +1 more source
Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley +1 more source
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
Ramified Asymptotic Expansions for Some Linear Initial Value Problem With Mahler Transforms
We focus on a linear partial differential initial value problem in complex time t and complex space combined with time acting Mahler transforms. Bounded holomorphic solutions on bounded sectors edged at the origin in time and on horizontal strips in space are constructed by means of infinite sums of Fourier–Laplace transforms.
Stéphane Malek, Deepali Deepali
wiley +1 more source
Uniformly Continuous Functionals and Operators Commuting with Lebesgue–Fourier Algebras
Let G be a locally compact group. This paper investigates the space of uniformly continuous functionals associated with the Lebesgue–Fourier algebra on G. Our aim is to describe the dual of this space in terms of bounded operators on the dual of the Lebesgue–Fourier algebra that commute with the natural module action, and to determine exactly when this
Maryam Esfandani +2 more
wiley +1 more source
On ℬ‐Analog of the Sumudu Transform Associated With the General Quantum ℬ‐Difference Operator
We present here a B‐analog of the Sumudu transform defined via a general quantum B‐difference operator which generalizes classical difference operators in the context of quantum calculus, is employed to study the proposed problem. We explore the core characteristics of the B‐Sumudu transform and illustrate its applications in solving B‐initial value ...
Karima M. Oraby +2 more
wiley +1 more source

