Rotation invariant ideals in subalgebras of 𝐿^{∞}

Gorkin, Pamela

doi:10.1090/S0002-9939-1985-0796441-5

Rotation invariant ideals in subalgebras of $L^ \infty$
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Proc. Amer. Math. Soc. 95 (1985), 32-36 Request permission

Abstract:

In this paper, it is shown that the only (nontrivial) finitely generated rotation invariant ideals in ${H^\infty }$ are ${z^n}{H^\infty }$ for some positive integer $n$. Using results about function algebras, it is shown that other rotation invariant ideals exist. Rotation invariant ideals of other subalgebras of ${L^\infty }$ are also studied.

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