A note on operator Banach spaces containing a complemented copy of c(0)

Authors
Paneque, E Pineiro, C
Citation
E. Paneque et C. Pineiro, A note on operator Banach spaces containing a complemented copy of c(0), ARCH MATH, 75(5), 2000, pp. 370-375
Citations number
9
Categorie Soggetti
Mathematics
Journal title
ARCHIV DER MATHEMATIK
ISSN journal
0003889X → ACNP
Volume
75
Issue
5
Year of publication
2000
Pages
370 - 375
Database
ISI
SICI code
0003-889X(20001102)75:5<370:ANOOBS>2.0.ZU;2-Y
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 c losed", Among other results, we prove the following one. Let U(X, Y) an ope rator Banach space containing a complemented copy of co. Then we have: 1) I f U(X, Y) is boundedly closed then Y contains a copy of c(0). 2) If U2(X, Y ) is d-boundedly closed, then X' or Y contains a copy of c(0).