RUC-DECOMPOSITIONS IN SYMMETRICAL OPERATOR-SPACES

Authors
DODDS PG SUKOCHEV FA
Citation
Pg. Dodds et Fa. Sukochev, RUC-DECOMPOSITIONS IN SYMMETRICAL OPERATOR-SPACES, Integral equations and operator theory, 29(3), 1997, pp. 269-287
Citations number
33
Journal title
Integral equations and operator theory → ACNP
ISSN journal
0378620X
Volume
29
Issue
3
Year of publication
1997
Pages
269 - 287
Database
ISI
SICI code
0378-620X(1997)29:3<269:RISO>2.0.ZU;2-J
Abstract
We show that if X is a Banach space of type 2 and G is a compact Abeli an group, then any system of eigenvectors {x(gamma)}(gamma is an eleme nt of (G) over cap) (with respect to a strongly continuous representat ion of G on rr) is an RUG-system. As an application, we exhibit new ex amples of RUG-bases in certain symmetric spaces of measurable operator s.