Multiplication operators on weighted spaces of vector-valued continuous functions
Copyright policy )Multiplication operators on weighted spaces of vector-valued continuous functions
AbstractIf V is a system of weights on a completely regular Hausdorff space X and E is alocally convex space, then CV0(X, E) and CVb (X, E) are locally convex spaces of vector-valued continuous functions with topologies generated by seminorms which are weighted analogues of the supremum norm. In this paper we characterise multiplication operators on these spaces induced by scalar-valued and vector-valued mappings. Many examples are presented to illustrate the theory.
- University of Jammu India
completely regular Hausdorff space, Spaces of vector- and operator-valued functions, multiplication operator, Linear operators on function spaces (general), Topological linear spaces of continuous, differentiable or analytic functions, system of weights
completely regular Hausdorff space, Spaces of vector- and operator-valued functions, multiplication operator, Linear operators on function spaces (general), Topological linear spaces of continuous, differentiable or analytic functions, system of weights
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).9 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!