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Duality on locally convex cones [PDF]

, 2008
The theory of locally convex cones as a branch of functional analysis was presented by K. Keimel and W. Roth in [K. Keimel, W. Roth, Ordered Cones and Approximation, Lecture Notes in Math., vol. 1517, Springer-Verlag, Heidelberg, 1992].
Motallebi, M.R., Saiflu, H.
core   +1 more source

A note on Gordan's theorem over cone domains

International Journal of Mathematics and Mathematical Sciences, 1982
This note presents a proof of Gordan's Theorem over general closed, convex cone domains which follows in a natural way appealing to the standard definitions of closed convex cones and their respective polar cones.
Brad Skarpness, V. A. Sposito
doaj   +1 more source

Mixed powerdomains for probability and nondeterminism [PDF]

Logical Methods in Computer Science, 2017
We consider mixed powerdomains combining ordinary nondeterminism and probabilistic nondeterminism. We characterise them as free algebras for suitable (in)equation-al theories; we establish functional representation theorems; and we show equivalencies ...
Klaus Keimel, Gordon D. Plotkin
doaj   +1 more source

Covering functionals of cones and double cones

Journal of Inequalities and Applications, 2018
The least positive number γ such that a convex body K can be covered by m translates of γK is called the covering functional of K (with respect to m), and it is denoted by Γm(K) $\Gamma_{m}(K)$.
Senlin Wu, Ke Xu
doaj   +1 more source

Isoperimetric Inequalities for Convex Cones [PDF]

Proceedings of the American Mathematical Society, 1990
We present here an isoperimetric inequality for sets contained in a convex cone. Some applications to symmetrization problems and Sobolev inequalities are also indicated.
LIONS P. L., PACELLA, Filomena
openaire   +3 more sources

Invariance of closed convex cones for stochastic partial differential equations [PDF]

, 2017
The goal of this paper is to clarify when a closed convex cone is invariant for a stochastic partial differential equation (SPDE) driven by a Wiener process and a Poisson random measure, and to provide conditions on the parameters of the SPDE, which are ...
Stefan Tappe
semanticscholar   +1 more source

Tensor Products of Convex Cones [PDF]

, 2022
Tensor products of convex cones have recently come up in different areas, ranging from functional analysis and operator theory to approximation theory and theoretical physics. However, most of the existing literature focuses either on Archimedean lattice
de Bruyn, Josse van Dobben
core   +1 more source

Characterization of isoperimetric sets inside almost-convex cones [PDF]

, 2016
In this note we characterize isoperimetric regions inside almost-convex cones. More precisely, as in the case of convex cones, we show that isoperimetric sets are given by intersecting the cone with a ball centered at the origin.
Eric Baer, A. Figalli
semanticscholar   +1 more source

Homogeneous cones and abelian theorems

International Journal of Mathematics and Mathematical Sciences, 1998
This paper deals with analysis on homogeneous cones in ℝn. This subject has its origins in one-dimensional topics that are connected, often implicitely, with some group properties.
Tatjana Ostrogorski
doaj   +1 more source

Completion of locally convex cones [PDF]

, 2017
We define the concept of completion for locally convex cones. We show that how a locally convex cone with (SP) can be embedded as an upper dense subcone in an upper complete locally convex cone with (SP).
Asghar Ranjbari, Davood Ayaseh
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