J. Alaminos

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20122024

most citedZero Lie product determined Banach algebras

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

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8 papers · 1 filter

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.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…