Locally octahedral and locally almost square K\"othe-Bochner spaces
Functional Analysis
2021-07-05 v1
Abstract
It has been proved in [J.-D. Hardtke, J. Math. Phys. Anal. Geom. 16, no.2, 119--137 (2020)] that a K\"othe-Bochner space is locally octahedral/locally almost square if has the respective property and the simple functions are dense in . Here we show that the result still holds true without the density assumption. The proof makes use of the Kuratowski-Ryll-Nardzewski Theorem on measurable selections.
Keywords
Cite
@article{arxiv.2107.01180,
title = {Locally octahedral and locally almost square K\"othe-Bochner spaces},
author = {Jan-David Hardtke},
journal= {arXiv preprint arXiv:2107.01180},
year = {2021}
}
Comments
6 pages