Simple proofs of the Cauchy-Schwartz inequality and the negative discriminant property in archimedean almost f-algebras

DOI10.1007/S10496-009-0117-9zbMath1199.06073OpenAlexW2062347142MaRDI QIDQ3404936

Nedra Toumi, Adel Toumi, Moahamed Ali Toumi

Publication date: 12 February 2010

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10496-009-0117-9

zbMATH Keywords

\(f\)-algebraCauchy-Schwartz inequalityalmost \(f\)-algebrapositive square \(l\)-algebra

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Ordered rings, algebras, modules (06F25)

Cites Work

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• Commutativity of almost \(f\)-algebras
• Averaging operators and positive contractive projections
• Unital embedding and complexifications of F-algebras
• Almost \(f\)-algebras: Commutativity and the Cauchy-Schwarz inequality
• Lattice bimorphisms on \(f\)-algebras.
• The Schwarz inequality in Archimedean \(f\)-algebras
• Ordered modules of fractions.

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