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.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204205117 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558083817078784 |
|---|---|
| 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 |