RT Journal Article
T1 Homomorphisms between algebras of continuous functions.
A1 Llavona, José G.
A1 Jaramillo Aguado, Jesús Ángel
AB We begin this paper with a general study of algebra homomorphisms between algebras of continuous real functions on completely regular topological spaces; we study theirautomatic continuity and we characterize them as induced by continuous maps; then we give conditions on the inducing maps for the corresponding composition subalgebrasto be dense or closed. These general results apply to the case of algebras of weakly continuous and weakly uniformly continuous functions on bounded subsets of a Banachspace. We also study, as an application, the problem of interpolating bounded sequences of a Banach space by weakly uniformly continuous functions.
PB Canadian Mathematical Society
SN 0008-414X
YR 1989
FD 1989
LK https://hdl.handle.net/20.500.14352/57533
UL https://hdl.handle.net/20.500.14352/57533
DS Docta Complutense
RD 6 abr 2025