Zobrazeno 1 - 10
of 800
pro vyhledávání: '"HAJEK, Petr"'
We introduce and study a strict monotonicity property of the norm in solid Banach lattices of real functions that prevents such spaces from having the local diameter two property. Then we show that any strictly convex 1-symmetric norm on $\ell_\infty
Externí odkaz:
http://arxiv.org/abs/2410.18473
In this paper, we present some sufficient conditions on a metric space $M$ for which every molecule is a strongly subdifferentiable (SSD, for short) point in the Lipschitz-free space $\mathcal{F}(M)$ over $M$. Our main result reads as follows: if $(M
Externí odkaz:
http://arxiv.org/abs/2406.01269
Autor:
Hájek, Petr, Russo, Tommaso
We survey several results concerning norming Markushevich bases (M-bases, for short), focusing in particular on two recent examples of a weakly compactly generated Banach space with no norming M-basis and of an Asplund space with norming M-basis that
Externí odkaz:
http://arxiv.org/abs/2402.18442
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
Autor:
Hájek, Petr, Quilis, Andrés
We study several classical concepts in the topic of strict convexity of norms in infinite dimensional Banach spaces. Specifically, and in descending order of strength, we deal with Uniform Rotundity (UR), Weak Uniform Rotundity (WUR) and Uniform Rotu
Externí odkaz:
http://arxiv.org/abs/2302.11041
Autor:
Hájek, Petr, Quilis, Andrés
We construct a complete metric space $M$ of cardinality continuum such that every non-singleton closed separable subset of $M$ fails to be a Lipschitz retract of $M$. This provides a metric analogue to the various classical and recent examples of Ban
Externí odkaz:
http://arxiv.org/abs/2206.10279
For $1\leq p<\infty$, we prove that the dense subspace $\mathcal{Y}_p$ of $\ell_p(\Gamma)$ comprising all elements $y$ such that $y \in \ell_q(\Gamma)$ for some $q \in (0,p)$ admits a $C^{\infty}$-smooth norm which locally depends on finitely many co
Externí odkaz:
http://arxiv.org/abs/2205.11282
Publikováno v:
In Expert Systems With Applications 1 December 2024 255 Part D
Autor:
Hájek, Petr, Quilis, Andrés
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 October 2024 538(2)
Publikováno v:
In Engineering Structures 1 January 2025 322 Part A