A pseudo-Daugavet property for narrow projections in Lorentz spaces

Mikhail M. Popov, Beata Randrianantoanina

Let $X$ be a rearrangement-invariant space. An operator $T:X\to X$ is called narrow if for each measurable set $A$ and each $\epsilon >0$ there exists $x\in X$ with $x^2= χ_A, \int x d…