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arxiv: 1407.4018 · v1 · pith:QCNNYJGInew · submitted 2014-07-15 · 🧮 math.FA

Lipschitz slices and the Daugavet equation for Lipschitz operators

classification 🧮 math.FA
keywords daugavetlipschitzcasenon-linearoperatorsalternativeconceptequation
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We introduce a substitute for the concept of slice for the case of non-linear Lipschitz functionals and transfer to the non-linear case some results about the Daugavet and the alternative Daugavet equations previously known only for linear operators.

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