Non-Weakly Supercyclic Weighted Composition Operators

Non-Weakly Supercyclic Weighted Composition Operators

We give sufficient conditions under which a weighted composition operator on a Hilbert space of analytic functions is not weakly supercyclic. Also, we give some necessary and sufficient conditions for hypercyclicity and supercyclicity of weighted composition operators on the space of analytic functi...

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Veröffentlicht in:Abstract and Applied Analysis 2010-01, Vol.2010 (2010), p.237-250
Hauptverfasser: Kamali, Z., Hedayatian, K., Khani Robati, B.
Format: Artikel
Sprache:eng
Schlagworte:
Hilbert space
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Zusammenfassung:We give sufficient conditions under which a weighted composition operator on a Hilbert space of analytic functions is not weakly supercyclic. Also, we give some necessary and sufficient conditions for hypercyclicity and supercyclicity of weighted composition operators on the space of analytic functions on the open unit disc.
ISSN:1085-3375
1687-0409
DOI:10.1155/2010/143808