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pro vyhledávání: '"Cobollo, Ch."'
Autor:
Cobollo, Ch., Hájek, P.
We prove that every Banach space admitting a Gateaux smooth norm and containing a complemented copy of $\ell_1$ has an equivalent renorming which is simultaneously G\^ateaux smooth and octahedral. This is a partial solution to a problem from the earl
Externí odkaz:
http://arxiv.org/abs/2408.03737
Autor:
Cobollo, Ch., Peris, A.
The notion of disjoint $\mathcal{A}$-transitivity for a Furstenberg family $\mathcal{A}$ is introduced with the aim to generalize properties derived from disjoint hypercyclic operators. We begin a systematic study by showing some of the basic propert
Externí odkaz:
http://arxiv.org/abs/2405.12626
Publikováno v:
Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. RACSAM 114(2) no 103 (2020)
E. Oja, T. Viil, and D. Werner showed, in [Totally smooth renormings, Archiv der Mathematik, 112, 3, (2019), 269--281] that a weakly compactly generated Banach space $(X,\|\cdot \|)$ with the property that every linear functional on $X$ has a unique
Externí odkaz:
http://arxiv.org/abs/2305.11611
We provide the explicit formula for the numerical index of any $2$-dimensional Lipschitz-free space, also giving the construction of operators attaining this value as its numerical radius. As a consequence, the numerical index of $2$-dimensional Lips
Externí odkaz:
http://arxiv.org/abs/2304.13183
A subspace $X$ of a Banach space $Y$ has $\textit{Property U}$ whenever every continuous linear functional on $X$ has a unique norm-preserving (i.e., Hahn$-$Banach) extension to $Y$ (Phelps, 1960). Throughout this document we introduce and develop a
Externí odkaz:
http://arxiv.org/abs/2210.10178
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 October 2024 538(1)
Autor:
Cobollo, Ch., Hájek, P.
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 March 2025 543(2) Part 1
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