ISSN:
1420-8938
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
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.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/s000130050517