Octahedrality and G\^ateaux smoothness
Functional Analysis
2024-08-08 v1
Abstract
We prove that every Banach space admitting a Gateaux smooth norm and containing a complemented copy of has an equivalent renorming which is simultaneously G\^ateaux smooth and octahedral. This is a partial solution to a problem from the early nineties.
Keywords
Cite
@article{arxiv.2408.03737,
title = {Octahedrality and G\^ateaux smoothness},
author = {Ch. Cobollo and P. Hájek},
journal= {arXiv preprint arXiv:2408.03737},
year = {2024}
}