J. Extremera

activity

20132022

most citedZero Lie product determined Banach algebras

8 citations · 14 across the 8 of their papers we have counts for

collaborators

8 papers

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.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.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…

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

Zero Jordan product determined Banach algebras

Orthogonally additive polynomials on convolution algebras associated with a compact group

Zero Lie product determined Banach algebras, II

Zero Lie product determined Banach algebras

Derivations preserving quasinilpotent elements

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