Výsledky vyhledávání - "JOHANIS, MICHAL"

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

Our note is a complement to recent articles \cite{JS1} (2011) and \cite{JS2} (2013) by M. Jim\'enez-Sevilla and L. S\'anchez-Gonz\'alez which generalise (the basic statement of) the classical Whitney extension theorem for $C^1$-smooth real functions

Externí odkaz: http://arxiv.org/abs/2403.14317

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

Autor: Hajek, Petr, Johanis, Michal, Schlumprecht, Th.

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 results in this direction (for example we determine the point charact

Externí odkaz: http://arxiv.org/abs/2401.00831

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

Autor: Johanis, Michal, Kryštof, Václav, Zajíček, Luděk

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 $\omega$ easily imply extension theorems for $C^{1,\omega}$-smooth functions on super-reflexive Banach sp

Externí odkaz: http://arxiv.org/abs/2305.19995

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Akademický článek

On Whitney-type extension theorems on Banach spaces for C1,ω, C1,+, [formula omitted], and [formula omitted]-smooth functions

Autor: Johanis, Michal, Kryštof, Václav, Zajíček, Luděk

Publikováno v: In Journal of Mathematical Analysis and Applications 1 April 2024 532(1)

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Akademický článek

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Isometric embedding of $\ell_1$ into Lipschitz-free spaces and $\ell_\infty$ into their duals

Autor: Cúth, Marek, Johanis, Michal

Publikováno v: Proc. Amer. Math. Soc., 145 (8) (2017), 3409-3421

We show that the dual of every infinite-dimensional Lipschitz-free Banach space contains an isometric copy of $\ell_\infty$ and that it is often the case that a Lipschitz-free Banach space contains a $1$-complemented subspace isometric to $\ell_1$. E

Externí odkaz: http://arxiv.org/abs/1604.04131

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On Peano's theorem in Banach spaces

Autor: Hájek, Petr, Johanis, Michal

We show that if $X$ is an infinite-dimensional separable Banach space (or more generally a Banach space with an infinite-dimensional separable quotient) then there is a continuous mapping $f\colon X\to X$ such that the autonomous differential equatio

Externí odkaz: http://arxiv.org/abs/0911.4860

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