The Daugavet property for Lipschitz case

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MEKDOUR Fateh.pdf (995.47 KB)

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2018

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Faculty of Mathematics and Computer Science Department of Mathematics

Abstract

We will study the generalization of the Daugavet property of the linear case to the nonlinear case; more precisely the Lipschitz case. Among other, we are interested in a some conditions sufficient for a Lipschitz operator to satisfy the Daugavet's property.

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Daugavet property, Lipschitz operator, 1  -singular operator, strong Radon-Nikodým operator, copies spaces of 1  , the slice of the unit ball X B , the Lipschitz slice of , X S slope (T) set and SCD set.

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https://depot.univ-msila.dz/handle/123456789/5047

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