On orthosymmetric bilinear maps

DOI10.1007/s11117-009-0009-4zbMath1204.06010OpenAlexW2096989892MaRDI QIDQ963681

Fethi Ben Amor

Publication date: 13 April 2010

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-009-0009-4

zbMATH Keywords

Archimedean vector latticeArchimedean almost \(f\)-algebraorder-bounded derivationorthosymmetric bilinear map

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Positive linear operators and order-bounded operators (47B65) Ordered rings, algebras, modules (06F25) Ordered topological linear spaces, vector lattices (46A40)

Related Items

Product factorable multilinear operators defined on sequence spaces ⋮ Derivations on universally complete \(f\)-algebras ⋮ Characterization of hyper-Archimedean vector lattices via disjointness preserving bilinear maps ⋮ CONTINUOUS GENERALIZED (θ, ϕ)-SEPARATING DERIVATIONS ON ARCHIMEDEAN ALMOST f-ALGEBRAS ⋮ Continuous orthosymmetric multilinear maps and homogeneous polynomials on Riesz spaces ⋮ When the image of a derivation on a uniformly complete \(f\)-algebra is contained in the radical ⋮ Representation of orthogonally additive polynomials ⋮ Averaging operators and continuous projections on \(f\)-algebras ⋮ Convolution factorability of bilinear maps and integral representations ⋮ Product factorability of integral Bilinear operators on Banach function spaces ⋮ Orthogonally Additive Homogenous Polynomials on Vector Lattices

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