Mixing operators with prescribed unimodular eigenvalues
Abstract For arbitrary closed countable subsets Z of the unit circle examples of topologically mixing operators on Hilbert spaces are given which have a densely spanning set of eigenvectors with unimodular eigenvalues restricted to Z. In particular, these operators cannot be ergodic in the Gaussian sense.
2013 ◽
Vol 106
(6)
◽
pp. 1394-1434
Keyword(s):
2014 ◽
Vol 12
(3)
◽
pp. 573-591
◽
2015 ◽
Vol 49
(1)
◽
pp. 77-94
◽
Keyword(s):
2004 ◽
Vol 2004
(52)
◽
pp. 2787-2793
2005 ◽
Vol 37
(5)
◽
pp. 793-800
Keyword(s):