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- Title
A note on operator Banach spaces containing a complemented copy of c0.
- Authors
Paneque, F.; Piñeiro, C.
- Abstract
Let X and Y Banach spaces. Two new properties of operator Banach spaces are introduced. We call these properties “boundedly closed” and “d-boundedly closed”. Among other results, we prove the following one. Let ${\cal U}(X, Y)$ an operator Banach space containing a complemented copy of c 0. Then we have: 1) If ${\cal U}(X, Y)$ is boundedly closed then Y contains a copy of c 0. 2) If ${\cal U}(X, Y)$ is d-boundedly closed, then X * or Y contains a copy of c 0.
- Publication
Archiv der Mathematik, 2000, Vol 75, Issue 5, p370
- ISSN
0003-889X
- Publication type
Article
- DOI
10.1007/s000130050517