A characterization of maximal regular ideals in lmc algebras

• Autorzy: Maria Fragoulopoulou
• Języki publikacji: EN

Abstrakty

EN

A question of Warner and Whitley concerning a nonunital version of the Gleason-Kahane-Żelazko theorem is considered in the context of nonnormed topological algebras. Among other things it is shown that a closed hyperplane M of a commutative symmetric F*-algebra E with Lindelöf Gel'fand space is a maximal regular ideal iff each element of M belongs to some closed maximal regular ideal of E.

Słowa kluczowe

EN

symmetric lmc*-algebra; LFQ-algebra; maximal ideal space; Lindelöf space

Kategorie tematyczne

• 46J20: Ideals, maximal ideals, boundaries
• 46H10: Ideals and subalgebras
• 46K05: General theory of topological algebras with involution

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1992
• Tom: 103
• Numer: 1
• Strony: 41-49

Daty

wydano

1992

otrzymano

1991-08-12

poprawiono

1992-02-10

Twórcy

autor

Maria Fragoulopoulou

• Mathematical Institute, University of Athens, Panepistimiopolis, Athens 157 84, Greece,

Bibliografia

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