We determine the maximal ideal space for commutative algebras of integrable functions on the Šilov boundary of classical generalized half-planes, which are invariant under the action of particular "rotation groups"; this is realized by suitably decomposing the representation spaces.
Carcano, G. (1997). Maximal ideal space for classical domains. BOLETÍN DE LA SOCIEDAD MATEMÁTICA MEXICANA, 3(3), 135-150.
Maximal ideal space for classical domains
CARCANO, GIOVANNA
1997
Abstract
We determine the maximal ideal space for commutative algebras of integrable functions on the Šilov boundary of classical generalized half-planes, which are invariant under the action of particular "rotation groups"; this is realized by suitably decomposing the representation spaces.
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