G. Plebanek

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math.FA2026

On positive Banach-Mazur distance

Maciej Korpalski, Grzegorz Plebanek

In this working note we study the one-sided positive Banach-Mazur distance between some pairs of $C (K)$ Banach spaces. Building on methods developed in [4], we solve, in particular…

math.FA2026

How many miles from $L_{\infty}$ to $ℓ_{\infty}$ ?

Maciej Korpalski, Grzegorz Plebanek

The classical Banach spaces $L_{\infty} [0, 1]$ and $ℓ_{\infty}$ are isomorphic. We present here some lower and upper bounds for their Banach-Mazur distance.

math.FA2025

Bounds for Banach-Mazur distances between some $C (K)$ -spaces

Maciej Korpalski, Grzegorz Plebanek

We present several results providing lower bounds for the Banach-Mazur distance \[d_{BM}(C(K), C(L))\] between Banach spaces of continuous functions on compact spaces. The main foc…

math.FA2024

Complemented subspaces of Banach spaces $C (K \times L)$

Grzegorz Plebanek, Jakub RondoÅ¡, Damian Sobota

We prove that, for every compact spaces $K_{1}, K_{2}$ and compact group $G$ , if both $K_{1}$ and $K_{2}$ map continuously onto $G$ , then the Banach space $C (K_{1} \times K_{2})$ contains a com…

On positive Banach-Mazur distance

How many miles from L∞​ to ℓ∞​?

Bounds for Banach-Mazur distances between some C(K)-spaces

Complemented subspaces of Banach spaces C(K×L)

How many miles from $L_{\infty}$ to $ℓ_{\infty}$ ?

Bounds for Banach-Mazur distances between some $C (K)$ -spaces

Complemented subspaces of Banach spaces $C (K \times L)$