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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 3, Pages 425-428
doi:10.1155/S0161171289000517

Completeness of regular inductive limits

Jan Kučera and Kelly McKennon

Department of Mathematics, Washington State University, Pullman 99164, WA, USA

Abstract

Regular LB-space is fast complete but may not be quasi-complete. Regular inductive limit of a sequence of fast complete, resp. weakly quasi-complete, resp. reflexive Banach, spaces is fast complete, resp. weakly quasi-complete, resp. reflexive complete, space.