Jakub Rondovs

activity

20192026

collaborators

5 papers

math.FA2026

A positive version of Miljutin's Theorem

Javier Laguna-Ricart, Gonzalo Martínez-Cervantes, Jakub Rondoš +2

In this paper we provide a positive version of Miljutin's theorem. Namely, we show that for any uncountable compact metric spaces $K$ and $L$ there exists a positive isomorphism $T…

math.FA2026

Borel complexity of isometry classes of $C (K)$ spaces with countable compacta

Marek Cúth, Martin Doležal, Ondřej Kurka +1

For every countable compact space $K$ , we determine the exact Borel complexity of the isometry class of the Banach space $C (K)$ . As a byproduct, we also determine the pre…

math.FA2026

Complementability of separable spaces $C (K)$ in Banach spaces

Jakub Rondoš, Damian Sobota

For a metric compact space $L$ and a Banach space $E$ , we provide a characterization of the complementability of the Banach space $C (L)$ of continuous functions on $L$ in…

math.FA2024

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

Grzegorz Plebanek, Jakub Rondoš, 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…

math.FA2019

Isomorphisms of subspaces of vector-valued continuous functions

Jakub Rondoš, Jiří Spurný

We deal with isomorphic Banach-Stone type theorems for closed subspaces of vector-valued continuous functions. Let $F = R$ or $C$ . For $i = 1, 2$ , let $E_{i}$ b…

A positive version of Miljutin's Theorem

Borel complexity of isometry classes of C(K) spaces with countable compacta

Complementability of separable spaces C(K) in Banach spaces

Complemented subspaces of Banach spaces C(K×L)

Isomorphisms of subspaces of vector-valued continuous functions

Borel complexity of isometry classes of $C (K)$ spaces with countable compacta

Complementability of separable spaces $C (K)$ in Banach spaces

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