Abramovich, Yuri New classes of spaces on which compact operators satisfy the Daugavet equation. (English) Zbl 0833.47023 J. Oper. Theory 25, No. 2, 331-345 (1991). New classes of spaces different from \(L_1 (\mu)\) and \(L_\infty (\mu)\) are presented, for which the Daugevet equation \[ |I+ T|= 1+ |T|\tag{DE} \] holds, where \(I\) the identity and \(T\) an arbitrary weakly compact operator. The last section of the paper can be viewed as a brief survey on the (DE) property. Cited in 8 Documents MSC: 47B38 Linear operators on function spaces (general) 46B42 Banach lattices 47B07 Linear operators defined by compactness properties PDFBibTeX XMLCite \textit{Y. Abramovich}, J. Oper. Theory 25, No. 2, 331--345 (1991; Zbl 0833.47023)