J. Alaminos

activity

20122024

most citedZero Lie product determined Banach algebras

8 citations · 16 across the 12 of their papers we have counts for

collaborators

12 papers

math.FA2024

Isometric Jordan isomorphisms of group algebras

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

Let $G$ and $H$ be locally compact groups. We will show that each contractive Jordan isomorphism $Φ : L^{1} (G) \to L^{1} (H)$ is either an isometric isomorphism or an isometric anti-…

math.FA2022★ 2 cited

Derivations and homomorphisms in commutator-simple algebras

J. Alaminos, M. Brešar, J. Extremera +2

We call an algebra $A$ commutator-simple if $[A, A]$ does not contain nonzero ideals of $A$ . After providing several examples, we show that in these algebras derivations are determi…

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.FA2019★ 4 cited

Zero Jordan product determined Banach algebras

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

A Banach algebra $A$ is said to be a zero Jordan product determined Banach algebra if every continuous bilinear map $φ : A \times A \to X$ , where $X$ is an arbitrary Banach space…

math.FA2018

Orthogonally additive polynomials on convolution algebras associated with a compact group

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

Let $G$ be a compact group, let $X$ be a Banach space, and let $P : L^{1} (G) \to X$ be an orthogonally additive, continuous $n$ -homogeneous polynomial. Then we show that there exi…

math.FA2018★ 2 cited

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…

math.FA2016★ 8 cited

Zero Lie product determined Banach algebras

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

A Banach algebra $A$ is said to be zero Lie product determined if every continuous bilinear functional $φ : A \times A \to C$ with the property that $φ (a, b) = 0$ whenever…

math.OA2013

Derivations preserving quasinilpotent elements

J. Alaminos, M. Brešar, J. Extremera +2

We consider a Banach algebra $A$ with the property that, roughly speaking, sufficiently many irreducible representations of $A$ on nontrivial Banach spaces do not vanish on all squ…

math.RA2012

Maps preserving zeros of a polynomial

J. Alaminos, M. Brešar, Š. Špenko +1

Let $\A$ be an algebra and let $f (x_{1}, ..., x_{d})$ be a multilinear polynomial in noncommuting indeterminates $x_{i}$ . We consider the problem of describing linear maps $ϕ:\A\to \A$ tha…

Isometric Jordan isomorphisms of group algebras

Derivations and homomorphisms in commutator-simple algebras

Strongly zero product determined Banach algebras

Hyperreflexivity of the space of module homomorphisms between non-commutative Lp-spaces

Orthogonally additive polynomials on non-commutative Lp-spaces

Zero Jordan product determined Banach algebras

Orthogonally additive polynomials on convolution algebras associated with a compact group

Orthogonally additive polynomials on the algebras of approximable operators

Zero Lie product determined Banach algebras, II

Zero Lie product determined Banach algebras

Derivations preserving quasinilpotent elements

Maps preserving zeros of a polynomial

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

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