A characterization of linear-multiplicative functionals in topological algebras

Maciej Łuczak. "A characterization of linear-multiplicative functionals in topological algebras." Commentationes Mathematicae 46.1 (2006): null. <http://eudml.org/doc/291639>.

@article{MaciejŁuczak2006,
abstract = {The classical Gleason–Kahane–Żelazko theorem for complex Banach algebras was generalized for not necessary linear functionals by Kowalski and Słodkowski. We prove a version of the Kowalski–Słodkowski theorem for real Banach algebras and also for real and complex $A$-pseudoconvex algebras.},
author = {Maciej Łuczak},
journal = {Commentationes Mathematicae},
keywords = {A-pseudoconvex algebra; real algebra; Gleason–Kahane–Żelazko theorem; Kowalski–Słodkowski theorem},
language = {eng},
number = {1},
pages = {null},
title = {A characterization of linear-multiplicative functionals in topological algebras},
url = {http://eudml.org/doc/291639},
volume = {46},
year = {2006},
}

TY - JOUR
AU - Maciej Łuczak
TI - A characterization of linear-multiplicative functionals in topological algebras
JO - Commentationes Mathematicae
PY - 2006
VL - 46
IS - 1
SP - null
AB - The classical Gleason–Kahane–Żelazko theorem for complex Banach algebras was generalized for not necessary linear functionals by Kowalski and Słodkowski. We prove a version of the Kowalski–Słodkowski theorem for real Banach algebras and also for real and complex $A$-pseudoconvex algebras.
LA - eng
KW - A-pseudoconvex algebra; real algebra; Gleason–Kahane–Żelazko theorem; Kowalski–Słodkowski theorem
UR - http://eudml.org/doc/291639
ER -