This is an announcement for the paper "On measures on Rosenthal compacta" by Witold Marciszewski and Grzegorz Plebanek.

Abstract: We show that if K is Rosenthal compact which can be represented by functions with countably many discontinuities then every Radon measure on K is countably determined. We also present an alternative proof of the result stating that every Radon measure on an arbitrary Rosenthal compactum is of countable type. Our approach is based on some caliber-type properties of measures, parameterized by separable metrizable spaces.

Archive classification: math.FA

Mathematics Subject Classification: 28C15, 46A50 (Primary) 28A60, 54C35 (Secondary)

Remarks: 14 pages

Submitted from: grzes@math.uni.wroc.pl

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1104.2639

or

http://arXiv.org/abs/1104.2639