The Banach–Mazur distance between $C([1,\omega ^n])$ and $C([1,\omega ])$
Volume 285 / 2025
Studia Mathematica 285 (2025), 91-104
MSC: Primary 46B03; Secondary 46E15, 46B20, 47B92
DOI: 10.4064/sm250120-15-7
Published online: 17 October 2025
Abstract
We give precise values of the Banach–Mazur distance between spaces $C([1,\omega ^n])$ and $C([1,\omega ])$ of all continuous real-valued functions on ordinal intervals endowed with the order topology. This solves a long-lasting problem posed by Bessaga and Pełczyński.
