4 papers
A group action approach to the Daugavet property
Sheldon Dantas, Helena del RÃo, Tomáš Raunig
We introduce the -Daugavet property (-DPr, for short) for Banach spaces endowed with an action of a group by surjective linear isometries. This notion provides a common f…
Group equivariant Radon-Nikodým property and its characterizations
Sheldon Dantas, Michal Doucha, Mingu Jung +1
We introduce and study equivariant versions of the Radon-Nikodým property for Banach spaces, together with the closely related notions such as dentability, the Bishop-Phelps and K…
Dynamical properties of weighted shifts on sequence spaces
Michal Hevessy, Tomáš Raunig
Motivated by three recent open questions in the study of linear dynamics, we study weighted shifts on sequence spaces. First, we provide an example of a weighted shift on a locally…
Almost-invariant elements of group actions on Lip spaces
Tomáš Raunig
This work is motivated by a question published in E. Glasner's paper On a question of Kazhdan and Yom Din regarding the possibility to approximate functionals on a Banach space whi…