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The Daugavet equation for operators on function spaces. (English) Zbl 0899.47025

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”.

MSC:

47B38 Linear operators on function spaces (general)
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