Farthest points in W*-compact sets

R. Deville, V. E. Zizler

Research output: Contribution to journalArticlepeer-review

Abstract

We show that while farthest points always exist in w* -compact sets in duals to Radon-Nikodym spaces, this is generally not the case in dual Radon-Nikodym spaces. We also show how to characterise weak compactness in terms of farthest points.

Original languageEnglish (US)
Pages (from-to)433-439
Number of pages7
JournalBulletin of the Australian Mathematical Society
Volume38
Issue number3
DOIs
StatePublished - Dec 1988
Externally publishedYes

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