Some remarks on spectral states of LMC-algebras

DOI10.1007/BF02862879zbMath0709.46029MaRDI QIDQ921475

Michael Pannenberg

Publication date: 1990

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

complex extreme points\(weak^ *\)- boundednesscommutativity criteriaintegral representations of spectral statesKorovkin-type theoremslocally multiplicatively convex algebrapositive statesspectral state on a unital Banach algebrasymmetric involutions

Mathematics Subject Classification ID

General theory of topological algebras (46H05)

Related Items (1)

Approximate regularity of commutative Beurling algebras and Korovkin approximation

Cites Work

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• On spectra and numerical ranges in locally m-convex algebras
• Korovkin approximation in Waelbroeck algebras
• Integral representation theorems via Banach algebras
• A representation theorem for positive functionals on involution algebras
• Boundaries for locally m-convex algebras
• On locally m-convex x-algebras
• On numerical ranges of elements of locally \(m\)-convex algebras
• Concerning topological convergence of sets
• On maximal ideals in commutative m-convex algebras
• Abstract Bochner-Weil-Raikov theorem in topological algebras
• Bochner's theorem, states, and Fourier transforms of measures

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