Local completeness of ℓp(E), 1≤p<∞
We study the heredity of local completeness and the strict Mackey convergence property from the locally convex space E to the space of absolutely p-summable sequences on E, ℓp(E) for 1≤p<∞.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202109033 |
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| _version_ | 1832555976826290176 |
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| author | C. Bosch T. Gilsdorf C. Gómez R. Vera |
| author_facet | C. Bosch T. Gilsdorf C. Gómez R. Vera |
| author_sort | C. Bosch |
| collection | DOAJ |
| description | We study the heredity of local completeness and the strict Mackey
convergence property from the locally convex space E to the space of absolutely p-summable sequences on E, ℓp(E) for 1≤p<∞. |
| format | Article |
| id | doaj-art-28fe1e76f4e043d1b2806f3e73e7e29f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-28fe1e76f4e043d1b2806f3e73e7e29f2025-02-03T05:46:43ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01311165165710.1155/S0161171202109033Local completeness of ℓp(E), 1≤p<∞C. Bosch0T. Gilsdorf1C. Gómez2R. Vera3Departamento Académico de Matemáticas, Itam, Rio Hondo #1, Col. Tizapán San Ángel, C.P., México 01000 D.F., MexicoDepartment of Mathematics, University of North Dakota, Grand Forks, ND 58202-8376, USADepartamento Académico de Matemáticas, Itam, Rio Hondo #1, Col. Tizapán San Ángel, C.P., México 01000 D.F., MexicoEsc. de C. Físico-Matemáticas, Universidad Michoacana, Santiago Tapia No. 403 Edif. B, Ciudad Universitaria, Morelia, Mich. 58060, MexicoWe study the heredity of local completeness and the strict Mackey convergence property from the locally convex space E to the space of absolutely p-summable sequences on E, ℓp(E) for 1≤p<∞.http://dx.doi.org/10.1155/S0161171202109033 |
| spellingShingle | C. Bosch T. Gilsdorf C. Gómez R. Vera Local completeness of ℓp(E), 1≤p<∞ International Journal of Mathematics and Mathematical Sciences |
| title | Local completeness of ℓp(E), 1≤p<∞ |
| title_full | Local completeness of ℓp(E), 1≤p<∞ |
| title_fullStr | Local completeness of ℓp(E), 1≤p<∞ |
| title_full_unstemmed | Local completeness of ℓp(E), 1≤p<∞ |
| title_short | Local completeness of ℓp(E), 1≤p<∞ |
| title_sort | local completeness of lp e 1≤p ∞ |
| url | http://dx.doi.org/10.1155/S0161171202109033 |
| work_keys_str_mv | AT cbosch localcompletenessoflpe1p AT tgilsdorf localcompletenessoflpe1p AT cgomez localcompletenessoflpe1p AT rvera localcompletenessoflpe1p |