On universal subsets of Banach spaces

Authors
Herzog, G Lemmert, R
Citation
G. Herzog et R. Lemmert, On universal subsets of Banach spaces, MATH Z, 229(4), 1998, pp. 615-619
Citations number
16
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE ZEITSCHRIFT
ISSN journal
00255874 → ACNP
Volume
229
Issue
4
Year of publication
1998
Pages
615 - 619
Database
ISI
SICI code
0025-5874(199812)229:4<615:OUSOBS>2.0.ZU;2-J
Abstract
We prove that to most of the known hypercyclic operators A on separable Ban ach spaces there exist compact (compact convex;, compact connected) subsets K of E such that each compact (compact convex, compact connected) subset o f E can be approximated with respect to Hausdorff's distance by A(n) (K) fo r suitable n is an element of IN.