Werner, Dirk The Daugavet equation for operators on function spaces. (English) Zbl 0899.47025 J. Funct. Anal. 143, No. 1, 117-128 (1997). Author’s summary: “We prove the norm identity \(\| Id+ T\|= 1+\| T\|\), which is known as the Daugavet equation, for weakly compact 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”. Reviewer: B.Rubin (Jerusalem) Cited in 19 Documents MSC: 47B38 Linear operators on function spaces (general) Keywords:Daugavet equation; weakly compact operators; natural function spaces; function algebras; \(L^1\)-predual spaces; non-discreteness assumption; \(c_0\)-factorable operators; operators on \(C_\Lambda\)-spaces PDFBibTeX XMLCite \textit{D. Werner}, J. Funct. Anal. 143, No. 1, 117--128 (1997; Zbl 0899.47025) Full Text: DOI arXiv