A property of strictly singular 1-1 operators

Details A property of strictly singular 1-1 operators A property of strictly singular 1-1 operators

2001-12-25

arxiv.org/abs/math/0112274v1

Mathematics

Functional Analysis

See also: http://www.math.sc.edu/~giorgis/research.html

Scientific paper

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.

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