Range transformations on a Banach function algebra. IV

Hatori, Osamu

doi:10.1090/S0002-9939-1992-1073526-3

Range transformations on a Banach function algebra. IV
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by Osamu Hatori

Proc. Amer. Math. Soc. 116 (1992), 149-156

DOI: https://doi.org/10.1090/S0002-9939-1992-1073526-3

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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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