International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 4, Pages 723-730
doi:10.1155/S0161171291000972

Ultrabornological structures

Abstract

The purpose of this note is to extend Warner's idea of “bornological structures“ to cover non-locally convex situations and to develop a framework unifying several variations on an ultrabornological theme (for example, ultrabornological spaces, o-ultrabornological spaces, i-ultrabornological algebras). We do this by first generalising the concept of a “structure” on a vector space as defined by Warner.