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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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Codimension 1 linear isometries on function algebras
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by Jesús Araujo and Juan J. Font PDF
Proc. Amer. Math. Soc. 127 (1999), 2273-2281 Request permission

Abstract:

Let $A$ be a function algebra on a locally compact Hausdorff space. A linear isometry $T:A\longrightarrow A$ is said to be of codimension $1$ if the range of $T$ has codimension $1$ in $A$. In this paper, we provide and study a classification of codimension 1 linear isometries on function algebras in general and on Douglas algebras in particular.
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Additional Information
  • Jesús Araujo
  • Affiliation: Departamento de Matemáticas, Estadística y Computación, Universidad de Cantabria, Facultad de Ciencias, Avda. de los Castros, s. n., E-39071 Santander, Spain
  • Email: araujo@matesco.unican.es
  • Juan J. Font
  • Affiliation: Departamento de Matemáticas, Universitat Jaume I, Campus Penyeta Roja, E-12071 Castellón, Spain
  • Email: font@mat.uji.es
  • Received by editor(s): November 19, 1996
  • Received by editor(s) in revised form: October 22, 1997
  • Published electronically: March 23, 1999
  • Additional Notes: Research of the first author was partially supported by the Spanish Dirección General de Investigación Científica y Técnica (DGICYT, PB95-0582).
    Research of the second author was partially supported by Fundació Caixa Castelló.
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 2273-2281
  • MSC (1991): Primary 47B38, 46J10; Secondary 46E25
  • DOI: https://doi.org/10.1090/S0002-9939-99-04718-8
  • MathSciNet review: 1485456