THE DAUGAVET EQUATION FOR OPERATORS ON FUNCTION-SPACES

Authors
WERNER D
Citation
D. Werner, THE DAUGAVET EQUATION FOR OPERATORS ON FUNCTION-SPACES, Journal of functional analysis, 143(1), 1997, pp. 117-128
Citations number
17
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of functional analysis → ACNP
ISSN journal
00221236
Volume
143
Issue
1
Year of publication
1997
Pages
117 - 128
Database
ISI
SICI code
0022-1236(1997)143:1<117:TDEFOO>2.0.ZU;2-U
Abstract
We prove the norm identity parallel to Id+T parallel to=1+parallel to T parallel to, which is known as the Daugavet equation, for weakly com pact operators T on natural function spaces such as function algebras and L(1)-predual spaces, provided a non-discreteness assumption is met . We also consider c(0)-factorable operators and operators on C-Lambda -spaces. (C) 1997 Academic Press