UNITARY Z(D)-ACTIONS WITH CONTINUOUS-SPECTRUM

Authors
BERGELSON V KORNFELD I MITYAGIN B
Citation
V. Bergelson et al., UNITARY Z(D)-ACTIONS WITH CONTINUOUS-SPECTRUM, Proceedings of the American Mathematical Society, 119(4), 1993, pp. 1127-1134
Citations number
4
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
119
Issue
4
Year of publication
1993
Pages
1127 - 1134
Database
ISI
SICI code
0002-9939(1993)119:4<1127:UZWC>2.0.ZU;2-P
Abstract
For any unitary Z(d)-action on a Hilbert space with continuous spectru m weakly wandering vectors are dense. This wandering can be forced to occur along I P-sets. This is a generalization and strengthening of a result due to Krengel. Our method is based on the contractive mapping fixed-point theorem.