Ricardo García

activity

20112019

most citedGeometry of integral polynomials,

M

-ideals and unique norm preserving extensions

9 citations · 9 across the 1 of their papers we have counts for

collaborators

3 papers

math.FA2019

On the ${\Ext}^2$-problem for Hilbert spaces

Félix Cabello Sánchez, Jesús M. F. Castillo, Willian H. G. Corrêa +2

We show that $\Ext^2(\ell_2, \ell_2)\neq 0$ in the category of Banach spaces. This solves a sharpened version of Palamodov's problem and provides a solution to the second order ver…

math.FA2018

Bilinear forms and the $\Ext^2$-problem in Banach spaces

Jesús M. F. Castillo, Ricardo García

Let $X$ be a Banach space and let $κ (X)$ denote the kernel of a quotient map $ℓ_{1} (Γ) \to X$ . We show that $\Ext^2(X,X^*)=0$ if and only if bilinear forms on $κ (X)$ extend to $\el…

math.FA2011★ 9 cited

Geometry of integral polynomials, $M$ -ideals and unique norm preserving extensions

Verónica Dimant, Daniel Galicer, Ricardo García

We use the Aron-Berner extension to prove that the set of extreme points of the unit ball of the space of integral polynomials over a real Banach space $X$ is $\{\pm ϕ^k: ϕ\in X^*,…

On the ${\Ext}^2$-problem for Hilbert spaces

Bilinear forms and the $\Ext^2$-problem in Banach spaces

Geometry of integral polynomials, M-ideals and unique norm preserving extensions

Geometry of integral polynomials, $M$ -ideals and unique norm preserving extensions