Topologies on spaces of vector-valued continuous functions
Copyright policy )Topologies on spaces of vector-valued continuous functions
Topologies β 0 , β 1 , β , β ∞ , β ∞ c {\beta _0},{\beta _1},\beta ,{\beta _\infty },{\beta _{\infty c}} are defined on C b ( X , E ) {C_b}(X,E) , the space of all bounded, continuous functions from a completely regular Hausdorff space X, into E, a normed space, and their duals are determined. Also many properties of these topologies are proved.
- DigiZeitschriften Germany
- University of Iowa United States
Probability measures on topological spaces, completely regular Hausdorff space, inductive limit, projective limit, Set functions and measures on topological spaces (regularity of measures, etc.), space of vector valued continuous functions, Article, Function spaces in general topology, Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures, 510.mathematics, Inductive and projective limits in functional analysis, General theory of locally convex spaces, Spaces of vector- and operator-valued functions, Topological linear spaces of continuous, differentiable or analytic functions, Vector-valued set functions, measures and integrals, locally convex topology, Vector-valued measures and integration, real-compactification, Ordered topological linear spaces, vector lattices
Probability measures on topological spaces, completely regular Hausdorff space, inductive limit, projective limit, Set functions and measures on topological spaces (regularity of measures, etc.), space of vector valued continuous functions, Article, Function spaces in general topology, Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures, 510.mathematics, Inductive and projective limits in functional analysis, General theory of locally convex spaces, Spaces of vector- and operator-valued functions, Topological linear spaces of continuous, differentiable or analytic functions, Vector-valued set functions, measures and integrals, locally convex topology, Vector-valued measures and integration, real-compactification, Ordered topological linear spaces, vector lattices
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