A. Villena

activity

20172024

collaborators

Showing math.FAShow all

5 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.FA2023

Lie--Trotter formulae in Jordan--Banach algebras with applications to the study of spectral-valued multiplicative functionals

Gerardo M. Escolano, Antonio M. Peralta, Armando R. Villena

We establish some Lie--Trotter formulae for unital complex Jordan--Banach algebras, showing that for each couple of elements $a, b$ in a unital complex Jordan--Banach algebra $\math…

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.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…