Douglas algebras without maximal subalgebra and without minimal superalgebra

Carroll Guillory

Abstract and Applied Analysis, 2001, vol. 6, 1-11

Abstract:

We give several examples of Douglas algebras that do not have any maximal subalgebra. We find a condition on these algebras that guarantees that some do not have any minimal superalgebra. We also show that if A is the only maximal subalgebra of a Douglas algebra B , then the algebra A does not have any maximal subalgebra.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:620768

DOI: 10.1155/S1085337501000458

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