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
Open Access
Douglas algebras without maximal subalgebra and without minimal superalgebra
Received25 Feb 2001
Copyright
Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.