Lipschitz slices and the Daugavet equation for Lipschitz operators

Kadets, Vladimir; Martín, Miguel; Merí, Javier; Werner, Dirk

doi:10.1090/proc/12818

Lipschitz slices and the Daugavet equation for Lipschitz operators
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by Vladimir Kadets, Miguel Martín, Javier Merí and Dirk Werner PDF

Proc. Amer. Math. Soc. 143 (2015), 5281-5292 Request permission

Abstract:

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.

References

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