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Orbits of Operators
- 1.0021420 - MÚ 2006 RIV US eng C - Conference Paper (international conference)
Müller, Vladimír
Orbits of Operators.
[Orbity operátorů.]
Proceedings of the First International School Advances Courses of Mathematical Analysis I. New Jersey: World Scientific, 2004 - (Aizpuru-Tomás, A.; León-Saavedra, F.), s. 53-79. ISBN 981-256-060-2.
[International Course of Mathematical Analysis /1./. Cádiz (ES), 22.09.2002-27.09.2002]
R&D Projects: GA ČR(CZ) GA201/03/0041
Institutional research plan: CEZ:AV0Z1019905
Keywords : orbits * invariant subspace problem * hypercyclic vectors
Subject RIV: BA - General Mathematics
The aim of this paper is to give a survey of results and ideas concerning orbits of operators and related notions of weak and polynomial orbits. These concepts are closely related to the invariant subspace/subset problem. Most of the proofs are not given in full details, we rather try to indicate the basic ideas. The central problems in the field are also formulated.
Článek podává přehled výsledků týkajících se orbit operátorů.
Permanent Link: http://hdl.handle.net/11104/0110399
Number of the records: 1