Positivity in the theory of supercyclic operators

F. León-Saavedra, and A. Piqueras-Lerena. "Positivity in the theory of supercyclic operators." Banach Center Publications 75.1 (2007): 221-232. <http://eudml.org/doc/282404>.

@article{F2007,
abstract = {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 \{λTⁿx : 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.},
author = {F. León-Saavedra, A. Piqueras-Lerena},
journal = {Banach Center Publications},
keywords = {supercyclic vectors; positivity; invariant subspaces},
language = {eng},
number = {1},
pages = {221-232},
title = {Positivity in the theory of supercyclic operators},
url = {http://eudml.org/doc/282404},
volume = {75},
year = {2007},
}

TY - JOUR
AU - F. León-Saavedra
AU - A. Piqueras-Lerena
TI - Positivity in the theory of supercyclic operators
JO - Banach Center Publications
PY - 2007
VL - 75
IS - 1
SP - 221
EP - 232
AB - 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 {λTⁿx : 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.
LA - eng
KW - supercyclic vectors; positivity; invariant subspaces
UR - http://eudml.org/doc/282404
ER -