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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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On the reflexivity of operators on function spaces
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by K. Seddighi and B. Yousefi PDF
Proc. Amer. Math. Soc. 116 (1992), 45-52 Request permission

Abstract:

Let $\Omega$ be a bounded plane domain. Sufficient conditions are given so that an operator $T$ in the Cowen-Douglas class ${\mathcal {B}_n}(\Omega )$ is reflexive. The operator ${M_z}$ of multiplication by $z$ on a Hilbert space of functions analytic on a finitely connected domain $\Omega$ is shown to be reflexive whenever $\sigma ({M_z}) = \overline \Omega$ is a spectral set.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 116 (1992), 45-52
  • MSC: Primary 47B38; Secondary 47A15, 47B37
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1104402-5
  • MathSciNet review: 1104402