INTERPOLATION OF OPERATORS WHEN THE EXTREME SPACES ARE L-INFINITY

Authors
BASTERO J RUIZ FJ
Citation
J. Bastero et Fj. Ruiz, INTERPOLATION OF OPERATORS WHEN THE EXTREME SPACES ARE L-INFINITY, Studia Mathematica, 104(2), 1993, pp. 133-150
Citations number
24
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
104
Issue
2
Year of publication
1993
Pages
133 - 150
Database
ISI
SICI code
0039-3223(1993)104:2<133:IOOWTE>2.0.ZU;2-J
Abstract
Under some assumptions on the pair (A0, B0), we study equivalence betw een interpolation properties of linear operators and monotonicity cond itions for a pair (Y, Z) of rearrangement invariant quasi-Banach space s when the extreme spaces of the interpolation are L(infinity). Weak a nd restricted weak intermediate spaces fall within our context. Applic ations to classical Lorentz and Lorentz-Orlicz spaces are given.