Proximinality in generalized direct sums
We consider proximinality and transitivity of proximinality for subspaces of finite codimension in generalized direct sums of Banach spaces. We give several examples of Banach spaces where proximinality is transitive among subspaces of finite codimension.
Saved in:
| Main Authors: | , |
|---|---|
| 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/S0161171204401057 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832568405014609920 |
|---|---|
| author | Darapaneni Narayana T. S. S. R. K. Rao |
| author_facet | Darapaneni Narayana T. S. S. R. K. Rao |
| author_sort | Darapaneni Narayana |
| collection | DOAJ |
| description | We consider proximinality and transitivity of proximinality for subspaces of finite codimension in generalized direct sums of Banach spaces. We give several examples of Banach spaces where proximinality is transitive among subspaces of finite codimension. |
| format | Article |
| id | doaj-art-07d812eda31e43de9ad8cb5208c08043 |
| 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-07d812eda31e43de9ad8cb5208c080432025-02-03T00:59:03ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004673663367010.1155/S0161171204401057Proximinality in generalized direct sumsDarapaneni Narayana0T. S. S. R. K. Rao1Equipe d'Analyse, Université Paris 6, 4 Place Jussieu, Paris Cedex 05 75252, FranceStatistics and Mathematics Unit, Indian Statistical Institute, Bangalore 560059, IndiaWe consider proximinality and transitivity of proximinality for subspaces of finite codimension in generalized direct sums of Banach spaces. We give several examples of Banach spaces where proximinality is transitive among subspaces of finite codimension.http://dx.doi.org/10.1155/S0161171204401057 |
| spellingShingle | Darapaneni Narayana T. S. S. R. K. Rao Proximinality in generalized direct sums International Journal of Mathematics and Mathematical Sciences |
| title | Proximinality in generalized direct sums |
| title_full | Proximinality in generalized direct sums |
| title_fullStr | Proximinality in generalized direct sums |
| title_full_unstemmed | Proximinality in generalized direct sums |
| title_short | Proximinality in generalized direct sums |
| title_sort | proximinality in generalized direct sums |
| url | http://dx.doi.org/10.1155/S0161171204401057 |
| work_keys_str_mv | AT darapaneninarayana proximinalityingeneralizeddirectsums AT tssrkrao proximinalityingeneralizeddirectsums |