The tensor product of Archimedean ordered vector spaces

DOI10.1017/S0305004100065506zbMath0663.46006OpenAlexW2121053760MaRDI QIDQ3812745

Coenraad C. A. Labuschagne, Jacobus J. Grobler

Publication date: 1988

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100065506

zbMATH Keywords

Banach latticesprincipal projection propertyDedekind completionsconstruction by step-elementsfree lattice generated by a given partially orderedtensor product construction of Archimedean Riesz spaces

Mathematics Subject Classification ID

Banach lattices (46B42) Ordered topological linear spaces, vector lattices (46A40) Tensor products in functional analysis (46M05)

Related Items (15)

Order bounded orthosymmetric bilinear operator ⋮ Tensor product of \(f\)-rings ⋮ On some properties of bilinear maps of order bounded variation ⋮ Laterally closed lattice homomorphisms ⋮ A note on the approximation of elements in the Riesz tensor product ⋮ Commutativity of almost \(f\)-algebras ⋮ Tensor products of Archimedean partially ordered vector spaces ⋮ The Dineen problem for homogeneous orthogonally-additive polynomials. ⋮ The tensor product of f-algebras ⋮ The quadratic variation of continuous time stochastic processes in vector lattices ⋮ AN f-ALGEBRA APPROACH TO THE RIESZ TENSOR PRODUCT OF ARCHIMEDEAN RIESZ SPACES ⋮ On the uniform density of \(C(X)\otimes C(Y)\) in \(C(X \times Y)\) ⋮ The Archimedean \(\ell\)-group tensor product ⋮ The Riesz tensor product of d-algebras ⋮ Tensor products of function systems revisited

Cites Work

• Tensor products of Banach lattices
• A Note on Disjointness Preserving Operators
• Tensor Products of Archimedean Vector Lattices
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