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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Isometric weighted composition operators on weighted Banach spaces of type $H^{\infty }$
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by José Bonet, Mikael Lindström and Elke Wolf PDF
Proc. Amer. Math. Soc. 136 (2008), 4267-4273 Request permission

Abstract:

We characterize those weighted composition operators on weighted Banach spaces of holomorphic functions of type $H^{\infty }$ which are an isometry.
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Additional 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