3 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 and be locally compact groups and consider their associate spaces of almost periodic functions and . 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 is a totally bounded abelian group \st\ its dual group equipped with the finite-open topology is a Baire group, then every compact subset of $G…