Integral representation for powers of elements in locally \(m\)-convex algebras and applications

DOI10.1007/S12215-009-0003-5zbMath1186.46050OpenAlexW1980774344MaRDI QIDQ1032584

Aida Toma

Publication date: 26 October 2009

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

Full work available at URL: https://doi.org/10.1007/s12215-009-0003-5

zbMATH Keywords

integral representationspectral radiusnumerical radiuslocally \(m\)-convex algebra

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Numerical range, numerical radius (47A12) General theory of topological algebras (46H05)

Cites Work

• The weakest \(m\)-convex topology stronger than an \(A\)-convex topology need not exist
• Propriétés spectrales des algèbres de Banach
• Inductive limits of locally \(m\)-convex algebras
• On classifying involutive locally \(m\)-convex algebras, via cones
• Regularity of a weighted \(m\)-convex algebra
• Results of Vidav-Palmer type in \(m\)-convex algebras
• On numerical ranges of elements of locally \(m\)-convex algebras
• Closed ideals in topological algebras: A characterization of the topological Φ-algebra C k (x)
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