Douglas Algebras That Have No Maximal Subalgebra and No Minimal Superalgebra
Complex Variables
2016-09-06 v1 Operator Algebras
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 is the only maximal subalgebra of a Douglas algebra , then the algebra does not have any maximal subalgebra.
Cite
@article{arxiv.math/9511210,
title = {Douglas Algebras That Have No Maximal Subalgebra and No Minimal Superalgebra},
author = {Carroll Guillory},
journal= {arXiv preprint arXiv:math/9511210},
year = {2016}
}