A property of strictly singular 11 operators
Abstract
We prove that if T is a strictly singular 11 operator defined on an infinite dimensional Banach space X, then for every infinite dimensional subspace Y of X there exists an infinite dimensional subspace Z of Y such that Z contains orbits of T of every finite length and the restriction of T on Z is a compact operator.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 December 2001
 arXiv:
 arXiv:math/0112274
 Bibcode:
 2001math.....12274A
 Keywords:

 Functional Analysis;
 47B07;
 46B03
 EPrint:
 See also: http://www.math.sc.edu/~giorgis/research.html