Positivity in the theory of supercyclic operators
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1
Universidad de Cádiz
info
- 2 Department of Mathematics, University of Cádiz. Escuela Superior de Ingeniería. C/ Sacramento, 82, 11002 Cádiz, Spain
Editorial: INSTITUTE OF MATHEMATICS POLISH ACADEMY OF SCIENCES
ISSN: 0137-6934
Año de publicación: 2007
Tipo: Aportación congreso
Resumen
A bounded linear operator T defined on a Banach space X is said to be supercyclic if there exists a vector x ∈ X such that the projective orbit {λT nx : λ ∈ C, n ∈ N} is dense in X. The aim of this survey is to show the relationship between positivity and supercyclicity. This relationship comes from the so called Positive Supercyclicity Theorem. Throughout this exposition, interesting new directions and open problems will appear.