A+ CATEGORY SCIENTIFIC UNIT

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Characterizations of Daugavet points and delta-points in Lipschitz-free spaces

Volume 268 / 2023

Triinu Veeorg Studia Mathematica 268 (2023), 213-233 MSC: Primary 46B04; Secondary 46B20, 46B22. DOI: 10.4064/sm220207-30-4 Published online: 8 August 2022

Abstract

A norm $1$ element $x$ of a Banach space is a Daugavet point (respectively, a $\Delta $-point) if every slice of the unit ball (respectively, every slice of the unit ball containing $x$) contains an element which is at distance almost 2 from $x$. We characterize Daugavet points and $\Delta $-points in Lipschitz-free spaces. Furthermore, we construct a Lipschitz-free space with the Radon–Nikodým property and with a Daugavet point; this is the first known example of such a Banach space.

Authors

  • Triinu VeeorgInstitute of Mathematics and Statistics
    University of Tartu
    Narva mnt 18
    51009, Tartu, Estonia
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image