J. Alaminos

activity

20172021

collaborators

5 papers

math.FA2021

Strongly zero product determined Banach algebras

J. Alaminos, J. Extremera, M. L. C. Godoy +1

$C^{*}$ -algebras, group algebras, and the algebra $A (X)$ of approximable operators on a Banach space $X$ having the bounded approximation property are known to be zero prod…

math.OA2020

Hyperreflexivity of the space of module homomorphisms between non-commutative $L^{p}$ -spaces

J. Alaminos, J. Extremera, M. L. C. Godoy +1

Let $M$ be a von Neumann algebra, and let $0 < p, q \leq \infty$ . Then the space $\Hom_\mathcal{M}(L^p(\mathcal{M}),L^q(\mathcal{M}))$ of all right $M$ -module homomor…

math.OA2019

Orthogonally additive polynomials on non-commutative $L^{p}$ -spaces

J. Alaminos, M. L. C. Godoy, A. R. Villena

Let $M$ be a von Neumann algebra with a normal semifinite faithful trace $τ$ . We prove that every continuous $m$ -homogeneous polynomial $P$ from $L^{p} (M, τ)$ , wit…

math.FA2018

Orthogonally additive polynomials on the algebras of approximable operators

J. Alaminos, M. L. C. Godoy, A. R. Villena

Let $X$ and $Y$ be Banach spaces, let $A (X)$ stands for the algebra of approximable operators on $X$ , and let $P : A (X) \to Y$ be an orthogonally additive, co…

math.FA2017

Zero Lie product determined Banach algebras, II

J. Alaminos, M. Bresar, J. Extremera +1

A Banach algebra $A$ is said to be zero Lie product determined if every continuous bilinear functional $φ : A \times A \to C$ satisfying $φ (a, b) = 0$ whenever $ab = ba$ is o…