The Schwarz inequality in Archimedean \(f\)-algebras

DOI10.1016/0019-3577(96)85085-3zbMath0861.46002OpenAlexW2051011841MaRDI QIDQ1815081

S. J. Bernau, Charles B. Huijsmans

Publication date: 11 May 1997

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(96)85085-3

zbMATH Keywords

Schwarz inequalityArchimedean \(f\)-algebranegative discriminantpositive definite quadratic polynomial

Mathematics Subject Classification ID

Ordered topological linear spaces, vector lattices (46A40)

Related Items (2)

The Dedekind completion of \(d\)-algebras ⋮ Simple proofs of the Cauchy-Schwartz inequality and the negative discriminant property in archimedean almost f-algebras

Cites Work

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• Averaging operators and positive contractive projections
• Banach lattices
• A generalized Schwarz inequality and algebraic invariants for operator algebras
• On the eigenvalues of positive operators
• Almost f-algebras and d-algebras
• ON THE FUNCTIONAL CALCULUS IN ARCHIMEDEAN RIESZ SPACES WITH APPLICATIONS TO APPROXIMATION THEOREMS
• Subadditive mean ergodic theorems

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