Michal Johanis

collaborators

3 papers

math.FA2024

On $C^{1}$ Whitney extension theorem in Banach spaces

Michal Johanis, Luděk Zajíček

Our note is a complement to recent articles \cite{JS1} (2011) and \cite{JS2} (2013) by M. Jiménez-Sevilla and L. Sánchez-González which generalise (the basic statement of) the clas…

math.FA2024

Remarks on the point character of Banach spaces and non-linear embeddings into~$c_0(\Ga)$

Petr Hajek, Michal Johanis, Th. Schlumprecht

We give a brief survey of the results on coarse or uniform embeddings of Banach spaces into $c_0(\Ga)$ and the point character of Banach spaces. In the process we prove several new…

math.FA2023

On Whitney-type extension theorems on Banach spaces for $C^{1, ω}$ , $C^{1, +}$ , $C_{loc}^{1, +}$ , and $C_{B}^{1, +}$ -smooth functions

Michal Johanis, Václav Kryštof, Luděk Zajíček

Our paper is a complement to a recent article by D. Azagra and C. Mudarra (2021). We show how older results on semiconvex functions with modulus $ω$ easily imply extension theorems…

On C1 Whitney extension theorem in Banach spaces

Remarks on the point character of Banach spaces and non-linear embeddings into~$c_0(\Ga)$

On Whitney-type extension theorems on Banach spaces for C1,ω, C1,+, Cloc1,+​, and CB1,+​-smooth functions

On $C^{1}$ Whitney extension theorem in Banach spaces

On Whitney-type extension theorems on Banach spaces for $C^{1, ω}$ , $C^{1, +}$ , $C_{loc}^{1, +}$ , and $C_{B}^{1, +}$ -smooth functions