COMPLETENESS OF L-1-SPACES FOR MEASURES WITH VALUES IN COMPLEX VECTOR-SPACES

Authors
FERNANDEZ A NARANJO F RICKER WJ
Citation
A. Fernandez et al., COMPLETENESS OF L-1-SPACES FOR MEASURES WITH VALUES IN COMPLEX VECTOR-SPACES, Journal of mathematical analysis and applications (Print), 223(1), 1998, pp. 76-87
Citations number
8
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications (Print) → ACNP
ISSN journal
0022247X
Volume
223
Issue
1
Year of publication
1998
Pages
76 - 87
Database
ISI
SICI code
0022-247X(1998)223:1<76:COLFMW>2.0.ZU;2-K
Abstract
We provide a simple and direct proof of the completeness of the space of C-valued integrable functions with respect to a vector measure taki ng its values in a complex Frechet space. A similar result is establis hed (via a quite different argument) for closed measures taking their values in more general sequentially complete, locally convex Hausdorff spaces over C. (C) 1998 Academic Press.