1 citations · 1 across the 2 of their papers we have counts for
4 papers
Extensions of Normed Algebras
Thomas William Dawson
We review and analyse techniques from the literature for extending a normed algebra, A to a normed algebra, B, so that B has interesting or desirable properties which A may lack. F…
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…
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…
Algebraic Extensions of Normed Algebras
Thomas Dawson
We compare two known methods of extending a complex, unital, commutative normed algebra so as to include solutions to sets of monic polynomials over the original algebra. (One of t…