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math.FA2002
A Survey of Algebraic Extensions of Commutative, Unital Normed Algebras
Thomas William Dawson
We describe the role of algebraic extensions in the theory of commutative, unital normed algebras, with special attention to uniform algebras. We shall also compare these construct…
math.FA2002
On the denseness of the invertible group in Banach algebras
T. W. Dawson, J. F. Feinstein
We examine the condition that a complex Banach algebra have dense invertible group. We show that, for commutative algebras, this property is preserved by integral extensions. W…