Rotation invariant ideals in subalgebras of 𝐿^{∞}

Author:

Gorkin Pamela

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference10 articles.

1. Factorization of 𝐿^{∞} functions;Axler, Sheldon;Ann. of Math. (2),1977

2. On sets of maximum indetermination of analytic functions;Collingwood, E. F.;Math. Z.,1957

3. Prentice-Hall Series in Modern Analysis;Hoffman, Kenneth,1962

4. On ideals of nest subalgebras of 𝐶*-algebras;Power, S. C.;Proc. London Math. Soc. (3),1985

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