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Proceedings of the American Mathematical Society

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

 

 

Range transformations on a Banach function algebra. IV


Author: Osamu Hatori
Journal: Proc. Amer. Math. Soc. 116 (1992), 149-156
MSC: Primary 46J10
DOI: https://doi.org/10.1090/S0002-9939-1992-1073526-3
MathSciNet review: 1073526
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Abstract: Functions in $ {\text{Op}}\left( {{I_D},\operatorname{Re} A + L} \right)$ are harmonic on $ D$ for a closed subalgebra $ A$ of $ {C_0}\left( Y \right)$, an ideal $ I$ of $ A$ and a linear subspace $ L$ of finite dimension in $ {C_0}{,_R}\left( Y \right)$ unless the uniform closure of $ I$ is selfadjoint.


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DOI: https://doi.org/10.1090/S0002-9939-1992-1073526-3
Keywords: Function algebra, range transformation, ultraseparating
Article copyright: © Copyright 1992 American Mathematical Society