[Banach] Abstract of a paper by Taras Banakh and Wieslaw Kubis

This is an announcement for the paper "Spaces of continuous functions over Dugundji compacta" by Taras Banakh and Wieslaw Kubis.

Abstract: We show that for every Dugundji compact $K$ the Banach space $C(K)$ is $1$-Plichko and the space $P(K)$ of probability measures on $K$ is Valdivia compact. Combining this result with the existence of a non-Valdivia compact group, we answer a question of Kalenda.

Archive classification: Functional Analysis; General Topology

Mathematics Subject Classification: Primary: 46B26; Secondary: 46E15, 54C35, 54D30

Remarks: 10 pages

The source file(s), Plichko_spaces1ff.tex: 39642 bytes, is(are) stored in gzipped form as 0610795.gz with size 12kb. The corresponding postcript file has gzipped size 59kb.

Submitted from: wkubis@pu.kielce.pl

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

http://front.math.ucdavis.edu/math.FA/0610795

or

http://arXiv.org/abs/math.FA/0610795

or by email in unzipped form by transmitting an empty message with subject line

uget 0610795

or in gzipped form by using subject line

get 0610795

to: math@arXiv.org.