Totally null sets for A(X)

Authors

  • Lynette J Boos Providence College

Keywords:

polydisc, Banach algebra, totally null set, null set, Gleason part

Abstract

For a compact subset K of the boundary of a compact Hausdorff space X, six properties that K may have in relation to the algebra A(X) are considered. It is shown that in relation to the algebra A(Dn), where Dn denotes the n-dimensional polydisc, the property of being totally null is weaker than the other ï¬ve properties. A general condition is given on the algebra A(X) which implies implies the existence of a totally null set that is not null, and several conditions are stated for A(X), each of which is sufficient for a totally null set to be a null set. DOI: 10.1017/S0004972712000329

Author Biography

Lynette J Boos, Providence College

I am an assistant professor of mathematics in the Department of Mathematics and Computer Science at Providence College.

Published

2012-12-17

Issue

Vol. 87 No. 1 (2013)

Section

Articles
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