[Banach] Abstract of a paper by Vladimir Kadets, Miguel Martin, Javier Meri, and Dirk Werner

This is an announcement for the paper "Lipschitz slices and the Daugavet equation for Lipschitz operators" by Vladimir Kadets, Miguel Martin, Javier Meri, and Dirk Werner.

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.

Archive classification: math.FA

Mathematics Subject Classification: Primary 46B04. Secondary 46B80, 46B22, 47A12

Submitted from: mmartins@ugr.es

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1407.4018

or

http://arXiv.org/abs/1407.4018