Research Article

Measures in banach spaces are determined by their values on balls

D. Preissa1 and J. Tišera2

a1 Professor D. Preiss, Department of Mathematics, University College London, Gower Street, London WC1E 6BT

a2 Dr. J. Tišer, Katedra Matematiky FEL ČVUT, Suchbàtarova 2, 16627 Praha 6, Czechoslovakia.


The statement from the title is proved.

(Received July 13 1990)

Key Words:

  • 28C15: MEASURE AND INTEGRATION; Set functions and measures on spaces with additional structure; Set functions and measures on topological spaces