Compact range property and operators on C*-algebras

Authors
Randrianantoanina, N
Citation
N. Randrianantoanina, Compact range property and operators on C*-algebras, P AM MATH S, 129(3), 2000, pp. 865-871
Citations number
9
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
129
Issue
3
Year of publication
2000
Pages
865 - 871
Database
ISI
SICI code
0002-9939(2000)129:3<865:CRPAOO>2.0.ZU;2-W
Abstract
We prove that a Banach space E has the compact range property (CRP) if and only if, for any given C*-algebra A, every absolutely summing operator from A into E is compact. Related results for p-summing operators (0 < p<1) are also discussed as well as operators on non-commutative L-1-spaces and C*-s umming operators.