IJPAM: Volume 66, No. 3 (2011)
Slovak Academy of Sciences
49, Štefánikova, Bratislava, SK-814 73, SLOVAKIA
Abstract.There is given an extension of the classical Helly and Helly-Bray Theorems to functions with values in Banach spaces. An application is given to a moment problem. From this, a representation theorem for compact mappings of the space of continuous functions into a Banach space is derived.
Received: November 10, 2010
AMS Subject Classification: 28E10, 81P10
Key Words and Phrases: semivariation, vector Riemann-Stieltjes integral, (weakly) compact operator, moment
Source: International Journal of Pure and Applied Mathematics