D. Somerset

collaborators

5 papers

math.OA1999

Spectral synthesis and topologies on ideal spaces for Banach *-algebras

J. F. Feinstein, E. Kaniuth, D. W. B. Somerset

This paper continues the study of spectral synthesis and the topologies $τ_{\infty}$ and $τ_{r}$ on the ideal space of a Banach algebra, concentrating on the class of Banach $^{*}$ -alg…

math.OA1999

Spectral synthesis for Banach Algebras II

J. F. Feinstein, D. W. B. Somerset

This paper continues the study of spectral synthesis and the topologies $τ_{\infty}$ and $τ_{r}$ on the ideal space of a Banach algebra, concentrating particularly on the class of Ha…

math.FA1998

Non-regularity for Banach function algebras

J. F. Feinstein, D. W. B. Somerset

Let $A$ be a unital Banach function algebra with character space $Φ_{A}$ . For $x \in Φ_{A}$ , let $M_{x}$ and $J_{x}$ be the ideals of functions vanishing at $x$ , and in a neighbourhood of $…

math.FA1998

A note on ideal spaces of Banach Algebras

J. F. Feinstein, D. W. B. Somerset

In a previous paper the second author introduced a compact topology on the space of closed ideals of a unital Banach algebra A. If A is separable then this topology is either metri…

math.FA1998

Strong regularity for uniform algebras

J. F. Feinstein, D. W. B. Somerset

A survey is given of the work on strong regularity for uniform algebras over the last thirty years, and some new results are proved, including the following. Let A be a uniform alg…