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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 4, Pages 705-707
doi:10.1155/S0161171299227056

Regularity of conservative inductive limits

Jan Kučera

Department of Mathematics, Washington State University, Pullman 99164-3113, Washington, USA

Abstract

A sequentially complete inductive limit of Fréchet spaces is regular, see [3]. With a minor modification, this property can be extended to inductive limits of arbitrary locally convex spaces under an additional assumption of conservativeness.