Ultrabornological structures
The purpose of this note is to extend Warner's idea of bornological structures to cover non-locally convex situations and to develop a framework unifying several variations on an ultrabornological theme (for example, ultrabornological spaces, o-ultrabornological spaces, i-ultrabornological alge...
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| Format: | Article |
| Language: | English |
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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/S0161171291000972 |
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| _version_ | 1850231855995944960 |
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| author | V. Murali |
| author_facet | V. Murali |
| author_sort | V. Murali |
| collection | DOAJ |
| description | The purpose of this note is to extend Warner's idea of
bornological structures to cover non-locally convex situations and to
develop a framework unifying several variations on an ultrabornological
theme (for example, ultrabornological spaces, o-ultrabornological spaces,
i-ultrabornological algebras). We do this by first generalising the concept
of a structure on a vector space as defined by Warner. |
| format | Article |
| id | doaj-art-01663d70d6ef407cafae63ba962b62cb |
| institution | OA Journals |
| 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-01663d70d6ef407cafae63ba962b62cb2025-08-20T02:03:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114472373010.1155/S0161171291000972Ultrabornological structuresV. Murali0Department of Mathematics, Rhodes University, P O Box 94, Grahamstown 6140, South AfricaThe purpose of this note is to extend Warner's idea of bornological structures to cover non-locally convex situations and to develop a framework unifying several variations on an ultrabornological theme (for example, ultrabornological spaces, o-ultrabornological spaces, i-ultrabornological algebras). We do this by first generalising the concept of a structure on a vector space as defined by Warner.http://dx.doi.org/10.1155/S0161171291000972structureB-bornivorousB-ultrabornological structured ☆-inductive limitsconvex structuresgeneral structures. |
| spellingShingle | V. Murali Ultrabornological structures International Journal of Mathematics and Mathematical Sciences structure B-bornivorous B-ultrabornological structured ☆-inductive limits convex structures general structures. |
| title | Ultrabornological structures |
| title_full | Ultrabornological structures |
| title_fullStr | Ultrabornological structures |
| title_full_unstemmed | Ultrabornological structures |
| title_short | Ultrabornological structures |
| title_sort | ultrabornological structures |
| topic | structure B-bornivorous B-ultrabornological structured ☆-inductive limits convex structures general structures. |
| url | http://dx.doi.org/10.1155/S0161171291000972 |
| work_keys_str_mv | AT vmurali ultrabornologicalstructures |