Affiliation:
1. Department of Mathematics, Central Michigan University, Mt. Pleasant, Michigan 48859, USA
Abstract
Quasi-locally complete locally convex spaces are generalized to quasi-locally Baire locally convex spaces. It is shown that an inductive limit of strictly webbed spaces is regular if it is quasi-locally Baire. This extends Qiu’s theorem on regularity. Additionally, if each step is strictly webbed and quasi-locally Baire, then the inductive limit is quasi-locally Baire if it is regular. Distinguishing examples are provided.
Publisher
World Scientific Pub Co Pte Lt