AbstractThe theme of this paper is the extension of continuous valuations on the lattice of open sets of a T0-space to Borel measures. A general extension principle is derived that provides a unified approach to a variety of extension theorems including valuations that are directed suprema of simple valuations, continuous valuations on locally compact sober spaces, and regular valuations on coherent sober spaces
International audienceThe regular open subsets of a topological space form a Boolean algebra, where ...
summary:Let $T$ be a locally compact Hausdorff space and let $C_0(T)$ be the Banach space of all com...
International audienceAbstract We give two concrete examples of continuous valuations on dcpo’s to s...
The theme of this paper is the extension of continuous valuations on the lattice of open sets of a T...
AbstractThe theme of this paper is the extension of continuous valuations on the lattice of open set...
AbstractWe show that every locally finite continuous valuation defined on the lattice of open sets o...
AbstractWe show, by a simple and direct proof, that if a bounded valuation on a directed complete pa...
International audienceWe show analogues of the Daniell–Kolmogorov and Prohorov theorems on the exist...
summary:A variant of Alexandrov theorem is proved stating that a compact, subadditive $D$-poset valu...
summary:Let $X$ be a completely regular $T_{1}$ space, $E$ a boundedly complete vector lattice, $ C(...
Available from British Library Document Supply Centre- DSC:DXN063346 / BLDSC - British Library Docum...
Abstract. Let X be a completely regular T1 space, E a boundedly complete vector lattice, C(X) (Cb(X)...
A Carathèodory type extension theorem is proved for sigma-additive exhaustive modular measures on si...
We provide a general framework for the study of valuations on Banach lattices. This complements and ...
International audienceWe introduce continuous $R$-valuations on directed-complete posets (dcpos, for...
International audienceThe regular open subsets of a topological space form a Boolean algebra, where ...
summary:Let $T$ be a locally compact Hausdorff space and let $C_0(T)$ be the Banach space of all com...
International audienceAbstract We give two concrete examples of continuous valuations on dcpo’s to s...
The theme of this paper is the extension of continuous valuations on the lattice of open sets of a T...
AbstractThe theme of this paper is the extension of continuous valuations on the lattice of open set...
AbstractWe show that every locally finite continuous valuation defined on the lattice of open sets o...
AbstractWe show, by a simple and direct proof, that if a bounded valuation on a directed complete pa...
International audienceWe show analogues of the Daniell–Kolmogorov and Prohorov theorems on the exist...
summary:A variant of Alexandrov theorem is proved stating that a compact, subadditive $D$-poset valu...
summary:Let $X$ be a completely regular $T_{1}$ space, $E$ a boundedly complete vector lattice, $ C(...
Available from British Library Document Supply Centre- DSC:DXN063346 / BLDSC - British Library Docum...
Abstract. Let X be a completely regular T1 space, E a boundedly complete vector lattice, C(X) (Cb(X)...
A Carathèodory type extension theorem is proved for sigma-additive exhaustive modular measures on si...
We provide a general framework for the study of valuations on Banach lattices. This complements and ...
International audienceWe introduce continuous $R$-valuations on directed-complete posets (dcpos, for...
International audienceThe regular open subsets of a topological space form a Boolean algebra, where ...
summary:Let $T$ be a locally compact Hausdorff space and let $C_0(T)$ be the Banach space of all com...
International audienceAbstract We give two concrete examples of continuous valuations on dcpo’s to s...
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