Completeness of regular inductive limits

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.

Bibliographic Details
Main Authors: Jan Kucera, Kelly McKennon
Format: Article
Language:English
Published: Hindawi Limited 1989-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171289000517