On non-midpoint locally uniformly rotund normability in Banach spaces
We will show that if X is a tree-complete subspace of ℓ∞, which contains c0, then it does not admit any weakly midpoint locally uniformly convex renorming. It follows that such a space has no equivalent Kadec renorming.
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Format: | Article |
Language: | English |
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Wiley
2004-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S0161171204205117 |
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_version_ | 1832558083817078784 |
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author | A. K. Mirmostafaee |
author_facet | A. K. Mirmostafaee |
author_sort | A. K. Mirmostafaee |
collection | DOAJ |
description | We will show that if X is a tree-complete subspace of
ℓ∞, which contains c0, then it does not
admit any weakly midpoint locally uniformly convex
renorming. It follows that such a space has no
equivalent Kadec renorming. |
format | Article |
id | doaj-art-16cb56b3337f4ec28045ae90e9d08b3f |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2004-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Mathematics and Mathematical Sciences |
spelling | doaj-art-16cb56b3337f4ec28045ae90e9d08b3f2025-02-03T01:33:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004251343134610.1155/S0161171204205117On non-midpoint locally uniformly rotund normability in Banach spacesA. K. Mirmostafaee0Department of Mathematics, Damghan University of Sciences, P.O. Box 36715-364, Damghan, IranWe will show that if X is a tree-complete subspace of ℓ∞, which contains c0, then it does not admit any weakly midpoint locally uniformly convex renorming. It follows that such a space has no equivalent Kadec renorming.http://dx.doi.org/10.1155/S0161171204205117 |
spellingShingle | A. K. Mirmostafaee On non-midpoint locally uniformly rotund normability in Banach spaces International Journal of Mathematics and Mathematical Sciences |
title | On non-midpoint locally uniformly rotund normability in Banach spaces |
title_full | On non-midpoint locally uniformly rotund normability in Banach spaces |
title_fullStr | On non-midpoint locally uniformly rotund normability in Banach spaces |
title_full_unstemmed | On non-midpoint locally uniformly rotund normability in Banach spaces |
title_short | On non-midpoint locally uniformly rotund normability in Banach spaces |
title_sort | on non midpoint locally uniformly rotund normability in banach spaces |
url | http://dx.doi.org/10.1155/S0161171204205117 |
work_keys_str_mv | AT akmirmostafaee onnonmidpointlocallyuniformlyrotundnormabilityinbanachspaces |