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A property of strictly singular 1-1 operators

Authors
  • Androulakis, George
  • Enflo, Per
Type
Preprint
Publication Date
Dec 25, 2001
Submission Date
Dec 25, 2001
Identifiers
arXiv ID: math/0112274
Source
arXiv
License
Unknown
External links

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.

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