Isometric weighted composition operators on weighted Banach spaces of type $H^{\infty }$
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- by José Bonet, Mikael Lindström and Elke Wolf
- Proc. Amer. Math. Soc. 136 (2008), 4267-4273
- DOI: https://doi.org/10.1090/S0002-9939-08-09631-7
- Published electronically: July 16, 2008
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Abstract:
We characterize those weighted composition operators on weighted Banach spaces of holomorphic functions of type $H^{\infty }$ which are an isometry.References
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Bibliographic Information
- José Bonet
- Affiliation: Instituto Universitario de Matématica Pura y Aplicada IUMPA-UPV, Edificio IDI5 (8E), Cubo F, Cuarta Planta, Universidad Politécnica de Valencia, E-46022 Valencia, Spain
- ORCID: 0000-0002-9096-6380
- Email: jbonet@mat.upv.es
- Mikael Lindström
- Affiliation: Department of Mathematical Sciences, P.O. Box 3000, FIN-90014, University of Oulu, Oulu, Finland
- Email: mikael.lindstrom@oulu.fi
- Elke Wolf
- Affiliation: Institute of Mathematics, University of Paderborn, D-33095 Paderborn, Germany
- Email: lichte@math.uni-paderborn.de
- Received by editor(s): August 6, 2007
- Published electronically: July 16, 2008
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2008 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 4267-4273
- MSC (2000): Primary 47B33, 47B38
- DOI: https://doi.org/10.1090/S0002-9939-08-09631-7
- MathSciNet review: 2431039