Zobrazeno 1 - 10
of 214
pro vyhledávání: '"Castillo, Jesus M."'
We show that if $p>1$ every subspace of $\ell_p(\Gamma)$ is an $\ell_p$-sum of separable subspaces of $\ell_p$, and we provide examples of subspaces of $\ell_p(\Gamma)$ for $0
Externí odkaz:
http://arxiv.org/abs/2410.16886
We study the structure of the Rochberg Banach spaces $\mathfrak Z_n$ associated to the interpolation pair $(\ell_\infty, \ell_1)$ at $1/2$, and the operators defined on them
Externí odkaz:
http://arxiv.org/abs/2305.09845
We study operators on the Kalton-Peck Banach space $Z_2$ from various points of view: matrix representations, examples, spectral properties and operator ideals. For example, we prove that there are non-compact, strictly singular operators acting on $
Externí odkaz:
http://arxiv.org/abs/2207.01069
Autor:
Grewell, Brenda J., Gallego-Tévar, Blanca, Bárcenas-Moreno, Gael, Whitcraft, Christine R., Thorne, Karen M., Buffington, Kevin J., Castillo, Jesús M.
Publikováno v:
Diversity and Distributions, 2023 Jul 01. 29(7), 834-848.
Externí odkaz:
https://www.jstor.org/stable/48731181
We extend and generalize the result of Kalton and Swanson ($Z_2$ is a symplectic Banach space with no Lagrangian subspace) by showing that all higher order Rochgberg spaces $\mathfrak R^{(n)}$ are symplectic Banach spaces with no Lagrangian subspaces
Externí odkaz:
http://arxiv.org/abs/2204.01703
The paper studies properties of twisted sums of a Banach space $X$ with $c_0(\kappa)$. We first prove a representation theorem for such twisted sums from which we will obtain, among others, the following: (a) twisted sums of $c_0(I)$ and $c_0(\kappa)
Externí odkaz:
http://arxiv.org/abs/2204.01704
The Kalton-Peck $Z_2$ space is the derived space obtained from the scale of $\ell_p$ spaces by complex interpolation at $1/2$. If we denote by by $Z_2^{real}$ the derived space obtained from the scale of $\ell_p$ spaces by real interpolation at $(1/2
Externí odkaz:
http://arxiv.org/abs/2204.00672
We combine techniques of Orty\'nski \cite{orty} and Moreno and Plichko \cite{moreplic} to show that, for $0
Externí odkaz:
http://arxiv.org/abs/2204.00670
We present a unified approach to the processes of inversion and duality for quasilinear and $1$-quasilinear maps; in particular, for centralizers and differentials generated by interpolation methods.
Comment: 16pp
Comment: 16pp
Externí odkaz:
http://arxiv.org/abs/2204.00667
Autor:
Muñoz-Rodríguez, Adolfo F., Infante-Izquierdo, María D., Polo-Ávila, Alejandro, Hermoso-López, Virgilio, Nieva, Francisco J.J., Gallego-Tévar, Blanca, Castillo, Jesús M.
Publikováno v:
In Estuarine, Coastal and Shelf Science 1 October 2024 305