S. Hern'andez

activity

20212025

collaborators

6 papers

math.FA2025

Extension of continuous functions on product spaces, Bohr Compactification and Almost Periodic Functions

Salvador Hernández

The Bohr compactification is a well known construction for (topological) groups and semigroups. Recently, this notion has been investigated for arbitrary structures in \cite{har_ku…

math.FA2025

Group homomorphisms induced by isometries

Salvador Hernández

Let $G$ and $H$ be locally compact groups and consider their associate spaces of almost periodic functions $A P (G)$ and $A P (H)$ . We investigate the continuous group homomorphisms in…

math.GR2024

The Baire property and precompact duality

M. Ferrer, S. Hernández, I. Sepúlveda +1

We prove that if $G$ is a totally bounded abelian group \st\ its dual group $G_{p}$ equipped with the finite-open topology is a Baire group, then every compact subset of $G…

math.GR2024

Bohr compactification and Chu duality of non-abelian locally compact groups

María V. Ferrer, S. Hernández

The \emph{Bohr compactification} of an arbitrary topological group $G$ is defined as the group compactification $(b G, b)$ with the following universal property: for every continuous…

math.FA2023

Tensor products of topological abelian groups and Pontryagin duality

María V. Ferrer, Julio Hernández-Arzusa, Salvador Hernández

Let $G$ be the group of all $\ZZ$-valued homomorphisms of the Baer-Specker group $\ZZ^\NN$. The group $G$ is algebraically isomorphic to $\ZZ^{(\NN)}$, the infinite direct sum of t…

math.GR2021

Homomorphic encoders of profinite abelian groups I

María V. Ferrer, Salvador Hernández

Let ${G_{i} : i \in N}$ be a family of finite Abelian groups. We say that a subgroup $G \leq i \in N \prod G_{i}$ is \emph{order controllable} if for every $i \in N$ the…