ON COMPACT CONVEX SUBSETS OF D[0, 1]

It is proved that a subset K of D[0, 1] which is convex and conditionally compact with respect to the Skorokhod topology is conditionally compact with respect to the uniform topology on D[0, 1]. Consequences of this result are indicated for limit laws for generalized random variables in D[0, 1] whic...

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Veröffentlicht in:	The Rocky Mountain journal of mathematics 1981-01, Vol.11 (4), p.501-510
1. Verfasser:	DAFFER, PETER Z.
Format:	Artikel
Sprache:	eng
Schlagworte:	46B05 46E99 Banach space Law of large numbers Mathematical theorems Random variables Separable spaces Topological compactness Topological spaces Topological theorems Topology
Online-Zugang:	Volltext
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