Completeness of regular inductive limits

Jan Kucera and Kelly McKennon

International Journal of Mathematics and Mathematical Sciences, 1989, vol. 12, 1-4

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.

Date: 1989
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DOI: 10.1155/S0161171289000517

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