AN f-ALGEBRA APPROACH TO THE RIESZ TENSOR PRODUCT OF ARCHIMEDEAN RIESZ SPACES

DOI10.1080/16073606.1989.9632194zbMath0728.46049OpenAlexW2050206547MaRDI QIDQ3351995

Coenraad C. A. Labuschagne, Jacobus J. Grobler

Publication date: 1989

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1989.9632194

zbMATH Keywords

functional calculusapproximation of elements in the Riesz tensor product by means of elements in the vector space tensor productf- algebrasorder density propertyRiesz tensor product of Archimedean Riesz spaces

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Tensor products in functional analysis (46M05)

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Tensor products of \(f\)-algebras, Tensor product of \(f\)-rings, A description of norm-convergent martingales on vector-valued \(L^p\)-spaces, Characterisation of conditional weak mixing via ergodicity of the tensor product in Riesz spaces, The tensor product of f-algebras, Extensions of orthosymmetric lattice bimorphisms, On the uniform density of \(C(X)\otimes C(Y)\) in \(C(X \times Y)\), The Riesz tensor product of d-algebras

Cites Work

• A note on the approximation of elements in the Riesz tensor product
• Subalgebras and Riesz Subspaces of an f -Algebra
• A Note on Disjointness Preserving Operators
• ON THE FUNCTIONAL CALCULUS IN ARCHIMEDEAN RIESZ SPACES WITH APPLICATIONS TO APPROXIMATION THEOREMS
• The tensor product of Archimedean ordered vector spaces
• Tensor Products of Archimedean Vector Lattices
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