A note on J-sets of linear operators

0364811 - MÚ 2012 RIV ES eng J - Journal Article
Azimi, M.R. - Müller, Vladimír
A note on J-sets of linear operators.
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Roč. 105, č. 2 (2011), s. 449-453. ISSN 1578-7303. E-ISSN 1579-1505
R&D Projects: GA ČR GA201/09/0473; GA AV ČR IAA100190903
Institutional research plan: CEZ:AV0Z10190503
Keywords : hypercyclic vectors * orbits * J-sets
Subject RIV: BA - General Mathematics
Impact factor: 0.340, year: 2011
http://www.springerlink.com/content/67872w605844038v/

We construct a Banach space operator T is an element of B(X) such that the set J(T)(0) has a nonempty interior but J(T)(0) not equal X. This gives a negative answer to a problem raised by Costakis and Manoussos (J. Oper. Theory [in press], 2011).
Permanent Link: http://hdl.handle.net/11104/0200193