PELCZYNSKIS PROPERTY (V-ASTERISK) FOR SYMMETRICAL OPERATOR-SPACES

Authors
RANDRIANANTOANINA N
Citation
N. Randrianantoanina, PELCZYNSKIS PROPERTY (V-ASTERISK) FOR SYMMETRICAL OPERATOR-SPACES, Proceedings of the American Mathematical Society, 125(3), 1997, pp. 801-806
Citations number
16
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
3
Year of publication
1997
Pages
801 - 806
Database
ISI
SICI code
0002-9939(1997)125:3<801:PP(FSO>2.0.ZU;2-I
Abstract
We show that if a rearrangement invariant Banach function space E on t he positive semi-axis contains no subspace isomorphic to c(O) then the corresponding space E(M) of tau-measurable operators, affiliated with an arbitrary semifinite von-Neumann algebra M equipped with a disting uished faithful, normal and semifinite trace tau, has Pelczynski's pro perty (V).