The Banach-Mazur distance between $C([1,\omega^n])$ and $C([1,\omega])$
Session: Abstract methods in Banach spaces
Talk
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. Joint work with Łukasz Piasecki.
\noindent\textbf{References}
M. Malec and Ł. Piasecki (2025), The Banach-Mazur distance between $C([1,\omega^n])$ and $C([1,\omega])$, Studia Math. 285 (1), 91-104 (DOI: 10.4064/sm250120-15-7).