منابع مشابه
A Pseudo-daugavet Property for Narrow Projections in Lorentz Spaces
Let X be a rearrangement-invariant space. An operator T : X → X is called narrow if for each measurable setA and each ε > 0 there exists x ∈ X with x = χA, ∫ xdμ = 0 and ‖Tx‖ < ε. In particular all compact operators are narrow. We prove that if X is a Lorentz function space Lw,p on [0,1] with p > 2, then there exists a constant kX > 1 so that for every narrow projection P on Lw,p ‖Id− P‖ ≥ kX ....
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ژورنال
عنوان ژورنال: Journal of the Institute of Mathematics of Jussieu
سال: 2019
ISSN: 1474-7480,1475-3030
DOI: 10.1017/s147474801900063x