Extension of Linear Operators
Extension of measure-like set functions
Extension of measures: a categorical approach
We present a categorical approach to the extension of probabilities, i.e. normed -additive measures. J. Novák showed that each bounded -additive measure on a ring of sets is sequentially continuous and pointed out the topological aspects of the extension of such measures on over the generated -ring : it is of a similar nature as the extension of bounded continuous functions on a completely regular topological space over its Čech-Stone compactification (or as the extension of continuous...
Extension of measures and integrals by the help of a pseudometric
Extension of null-additive set functions on algebra of subsets.
Extension of real-valued α-additive set functions
Extension of the Birkhoff and von Neumann ergodic theorems to semigroup actions
Extension of vector measures
Extension on the fuzzy integral based on -decomposable measure.
Extension theorems (vector measures on quantum logics)
Extensions de systèmes dynamiques par des endomorphismes de groupes compacts
Extensions of additive mappings
Extensions of Borel Measurable Maps and Ranges of Borel Bimeasurable Maps
We prove an abstract version of the Kuratowski extension theorem for Borel measurable maps of a given class. It enables us to deduce and improve its nonseparable version due to Hansell. We also study the ranges of not necessarily injective Borel bimeasurable maps f and show that some control on the relative classes of preimages and images of Borel sets under f enables one to get a bound on the absolute class of the range of f. This seems to be of some interest even within separable spaces.
Extensions of Cocycles for Hyperfinite Actions and Applications.
Extensions of invariant measures on Euclidean spaces
Extensions of measurable functions
Extensions of positive operators and extreme points. I
Extensions of positive operators and extreme points. II
Extensions of positive operators and extreme points. III
Extensions of positive operators and extreme points. IV