Complemented subspaces of p-adic second dual Banach spaces
Let K be a non-archimedean non-trivially valued complete field. In this paper we study Banach spaces over K. Some of main results are as follows: (1) The Banach space BC((l∞)1) has an orthocomplemented subspace linearly homeomorphic to c0. (2) The Banach space BC((c0)1) has an orthocomplemented subs...
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| Format: | Article |
| Language: | English |
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Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171295000548 |
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| _version_ | 1850215084917260288 |
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| author | Takemitsu Kiyosawa |
| author_facet | Takemitsu Kiyosawa |
| author_sort | Takemitsu Kiyosawa |
| collection | DOAJ |
| description | Let K be a non-archimedean non-trivially valued complete field. In this
paper we study Banach spaces over K. Some of main results are as follows:
(1) The Banach space BC((l∞)1) has an orthocomplemented subspace linearly homeomorphic
to c0.
(2) The Banach space BC((c0)1) has an orthocomplemented subspace linearly homeomorphic
to l∞. |
| format | Article |
| id | doaj-art-7f4a7a8464a74cd89e4c9d6eae6333cf |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7f4a7a8464a74cd89e4c9d6eae6333cf2025-08-20T02:08:43ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118343744210.1155/S0161171295000548Complemented subspaces of p-adic second dual Banach spacesTakemitsu Kiyosawa0Faculty of Education, Shizuoka University, Ohya, Shizuoka 422, JapanLet K be a non-archimedean non-trivially valued complete field. In this paper we study Banach spaces over K. Some of main results are as follows: (1) The Banach space BC((l∞)1) has an orthocomplemented subspace linearly homeomorphic to c0. (2) The Banach space BC((c0)1) has an orthocomplemented subspace linearly homeomorphic to l∞.http://dx.doi.org/10.1155/S0161171295000548non-archimedean valued fieldsnon-archimedean (p-adic) Banach spacespolar spacesspherically completecomplemented subspaces. |
| spellingShingle | Takemitsu Kiyosawa Complemented subspaces of p-adic second dual Banach spaces International Journal of Mathematics and Mathematical Sciences non-archimedean valued fields non-archimedean (p-adic) Banach spaces polar spaces spherically complete complemented subspaces. |
| title | Complemented subspaces of p-adic second dual Banach spaces |
| title_full | Complemented subspaces of p-adic second dual Banach spaces |
| title_fullStr | Complemented subspaces of p-adic second dual Banach spaces |
| title_full_unstemmed | Complemented subspaces of p-adic second dual Banach spaces |
| title_short | Complemented subspaces of p-adic second dual Banach spaces |
| title_sort | complemented subspaces of p adic second dual banach spaces |
| topic | non-archimedean valued fields non-archimedean (p-adic) Banach spaces polar spaces spherically complete complemented subspaces. |
| url | http://dx.doi.org/10.1155/S0161171295000548 |
| work_keys_str_mv | AT takemitsukiyosawa complementedsubspacesofpadicseconddualbanachspaces |