Positivity in the theory of supercyclic operators

• Autorzy: F. León-Saavedra , A. Piqueras-Lerena
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47B37: Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
• 47B38: Operators on function spaces (general)
• 47B99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 75
• Numer: 1
• Strony: 221-232

Daty

wydano

2007

Twórcy

autor

F. León-Saavedra

• Department of Mathematics, University of Cádiz, Campus Universitario de Jerez de la Frontera, Avda. de la Universidad s/n, 11402 Jerez de la Frontera (Cádiz), Spain

autor

A. Piqueras-Lerena

• Department of Mathematics, University of Cádiz, Escuela Superior de Ingeniería, C/ Sacramento, 82, 11002 Cádiz, Spain

Identyfikatory

DOI

10.4064/bc75-0-13