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- W1569642456 abstract "A Banach space $X$ has the Daugavet property if the Daugavet equation $|Id + T|= 1 + |T|$ holds for every rank-one operator $T:X longrightarrow X$. We show that the most natural attempts to introduce new properties by considering other norm equalities for operators (like $|g(T)|=f(|T|)$ for some functions $f$ and $g$) lead in fact to the Daugavet property of the space. On the other hand there are equations (for example $|Id + T|= |Id - T|$) that lead to new, strictly weaker properties of Banach spaces." @default.
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- W1569642456 date "2000-01-01" @default.
- W1569642456 modified "2023-10-14" @default.
- W1569642456 title "Norm equalities for operators" @default.
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