Banach-Mackey spaces
In recent publications the concepts of fast completeness and local barreledness have been shown to be related to the property of all weak-* bounded subsets of the dual (of a locally convex space) being strongly bounded. In this paper we clarify those relationships, as well as giving several differen...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000224 |
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| _version_ | 1832545484611256320 |
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| author | Jing Hui Qiu Kelly McKennon |
| author_facet | Jing Hui Qiu Kelly McKennon |
| author_sort | Jing Hui Qiu |
| collection | DOAJ |
| description | In recent publications the concepts of fast completeness and local
barreledness have been shown to be related to the property of all weak-* bounded
subsets of the dual (of a locally convex space) being strongly bounded. In this paper
we clarify those relationships, as well as giving several different characterizations
of this property. |
| format | Article |
| id | doaj-art-0f2f91677df94b3288c19451cb550f7d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0f2f91677df94b3288c19451cb550f7d2025-02-03T07:25:36ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114221521910.1155/S0161171291000224Banach-Mackey spacesJing Hui Qiu0Kelly McKennon1Department of Mathematics, University of Suzhou, Jiang Su Province, Suzhou, ChinaDepartment of Mathematics, Washington State University, Pullman, Washington, USAIn recent publications the concepts of fast completeness and local barreledness have been shown to be related to the property of all weak-* bounded subsets of the dual (of a locally convex space) being strongly bounded. In this paper we clarify those relationships, as well as giving several different characterizations of this property.http://dx.doi.org/10.1155/S0161171291000224fast completelocally barreledBanach-Mackey spaces. |
| spellingShingle | Jing Hui Qiu Kelly McKennon Banach-Mackey spaces International Journal of Mathematics and Mathematical Sciences fast complete locally barreled Banach-Mackey spaces. |
| title | Banach-Mackey spaces |
| title_full | Banach-Mackey spaces |
| title_fullStr | Banach-Mackey spaces |
| title_full_unstemmed | Banach-Mackey spaces |
| title_short | Banach-Mackey spaces |
| title_sort | banach mackey spaces |
| topic | fast complete locally barreled Banach-Mackey spaces. |
| url | http://dx.doi.org/10.1155/S0161171291000224 |
| work_keys_str_mv | AT jinghuiqiu banachmackeyspaces AT kellymckennon banachmackeyspaces |