Spectral states of commutative l.m.c. algebras. (English) Zbl 1060.46037

From the author’s abstract: We characterize the commutative locally multiplicative convex (l.m.c.) algebras in terms of spectral states. We also give a characterization of spectral states in terms of commutative semisimple l.m.c. algebras. Further, with the help of radicals of l.m.c. algebras we give a necessary and sufficient condition for an algebra to be commutative modulo its radical.


46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
46K99 Topological (rings and) algebras with an involution
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