Add to ORKGWe establish a necessary and sufficient condition for a function defined on a subset of an algebra of sets to be extendable to a positive additive function on the algebra. It is also shown that this condition is necessary and sufficient for a regular function defined on a regular subset of the Borel algebra of subsets of a given compact Hausdorff space to be extendable to a measure
We discuss the approximation properties of nets of positive linear operators acting on function spac...
We introduce and study partially additive (i.e., additive on suitable substructures) mea-sures on or...
summary:Let $T$ be a locally compact Hausdorff space and let $C_0(T)$ be the Banach space of all com...
We establish a necessary and suficient condition for a function defined on a subset of an algebra of...
AbstractFor R being a separating algebra of subsets of a set X, E a complete Hausdorff non-Archimede...
In our previous article [22], we showed complete additivity as a condition for extension of a measur...
Abstract. The present article returns to the new foundations of mea-sure and integration due to the ...
This is a study of the relative interpretability of the axiom of extensionality in the positive set ...
Measures and measurable functions are used primarily as tools for carrying out various calculations ...
Measurable sets are defined as those locally approximable, in a certain sense, by sets in the given ...
We prove the admissibility of the space L_0(A,X) of vector-valued measurable functions determined ...
AbstractThe theme of this paper is the extension of continuous valuations on the lattice of open set...
The family of all extensions of a nonclosable hermitian positive linear functional defined on a dens...
AbstractThe problem of extending partial functions is considered from the general viewpoint. Some as...
We discuss the approximation properties of nets of positive linear operators acting on function spac...
We discuss the approximation properties of nets of positive linear operators acting on function spac...
We introduce and study partially additive (i.e., additive on suitable substructures) mea-sures on or...
summary:Let $T$ be a locally compact Hausdorff space and let $C_0(T)$ be the Banach space of all com...
We establish a necessary and suficient condition for a function defined on a subset of an algebra of...
AbstractFor R being a separating algebra of subsets of a set X, E a complete Hausdorff non-Archimede...
In our previous article [22], we showed complete additivity as a condition for extension of a measur...
Abstract. The present article returns to the new foundations of mea-sure and integration due to the ...
This is a study of the relative interpretability of the axiom of extensionality in the positive set ...
Measures and measurable functions are used primarily as tools for carrying out various calculations ...
Measurable sets are defined as those locally approximable, in a certain sense, by sets in the given ...
We prove the admissibility of the space L_0(A,X) of vector-valued measurable functions determined ...
AbstractThe theme of this paper is the extension of continuous valuations on the lattice of open set...
The family of all extensions of a nonclosable hermitian positive linear functional defined on a dens...
AbstractThe problem of extending partial functions is considered from the general viewpoint. Some as...
We discuss the approximation properties of nets of positive linear operators acting on function spac...
We discuss the approximation properties of nets of positive linear operators acting on function spac...
We introduce and study partially additive (i.e., additive on suitable substructures) mea-sures on or...
summary:Let $T$ be a locally compact Hausdorff space and let $C_0(T)$ be the Banach space of all com...