Completeness of regular inductive limits

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
id doaj-bb3e190940a24ab39998b704ca2f6fbf
record_format Article
spelling doaj-bb3e190940a24ab39998b704ca2f6fbf2020-11-24T22:31:05ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112342542810.1155/S0161171289000517Completeness of regular inductive limitsJan Kucera0Kelly McKennon1Department of Mathematics, Washington State University, Pullman 99164, WA, USADepartment of Mathematics, Washington State University, Pullman 99164, WA, USARegular 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.http://dx.doi.org/10.1155/S0161171289000517
collection DOAJ
language English
format Article
sources DOAJ
author Jan Kucera
Kelly McKennon
spellingShingle Jan Kucera
Kelly McKennon
Completeness of regular inductive limits
International Journal of Mathematics and Mathematical Sciences
author_facet Jan Kucera
Kelly McKennon
author_sort Jan Kucera
title Completeness of regular inductive limits
title_short Completeness of regular inductive limits
title_full Completeness of regular inductive limits
title_fullStr Completeness of regular inductive limits
title_full_unstemmed Completeness of regular inductive limits
title_sort completeness of regular inductive limits
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 1989-01-01
description 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.
url http://dx.doi.org/10.1155/S0161171289000517
work_keys_str_mv AT jankucera completenessofregularinductivelimits
AT kellymckennon completenessofregularinductivelimits
_version_ 1725738752042598400

Similar Items