A property of strictly singular 1-1 operators
Functional Analysis
2007-05-23 v1
Abstract
We prove that if T is a strictly singular 1-1 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.
Cite
@article{arxiv.math/0112274,
title = {A property of strictly singular 1-1 operators},
author = {George Androulakis and Per Enflo},
journal= {arXiv preprint arXiv:math/0112274},
year = {2007}
}
Comments
See also: http://www.math.sc.edu/~giorgis/research.html