On irreducible operator *-algebras on Banach spaces

DOI10.1007/BF01951323zbMath0543.47036OpenAlexW1991989997MaRDI QIDQ796080

Joso Vukman

Publication date: 1984

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01951323

zbMATH Keywords

characterization of Hilbert spacesstrongly irreducible symmetric Banach *-algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Inner product spaces and their generalizations, Hilbert spaces (46C99) General theory of topological algebras with involution (46K05) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Cites Work

• Banach algebras with involution
• Two characterizations of real Hilbert space
• Ring and lattice characterizations of complex Hilbert space
• Representation of certain Banach algebras on Hilbert space
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