Invariant subspaces for products of Bishop operators

The functional calculus approach of Davie is extended to show the existence of hyperinvariant subspaces for a collection of weighted composition operators that includes certain products of Bishop operators. Moreover it is shown that such operators have trivial point spectrum.

Elmentve itt :
Bibliográfiai részletek
Szerzők: Chalendar Isabelle
Partington Jonathan R.
Dokumentumtípus: Cikk
Megjelent: Bolyai Institute, University of Szeged Szeged 2008
Sorozat:Acta scientiarum mathematicarum 74 No. 3-4
Kulcsszavak:Matematika, Bishop operátor
Tárgyszavak:
Online Access:http://acta.bibl.u-szeged.hu/16266
Leíró adatok
Tartalmi kivonat:The functional calculus approach of Davie is extended to show the existence of hyperinvariant subspaces for a collection of weighted composition operators that includes certain products of Bishop operators. Moreover it is shown that such operators have trivial point spectrum.
Terjedelem/Fizikai jellemzők:719-727
ISSN:0001-6969