Product of lattice-valued measures on topological spaces |
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| Authors: | Surjit Singh Khurana |
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| Affiliation: | (1) Department of Mathematics, University of Iowa, Iowa City, Iowa, 52242, USA |
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| Abstract: | X 1 and X 2 are completely regular Hausdorff spaces, E 1, E 2 and F are Dedekind complete Banach lattices, 〈·,·〉: E 1 × E 2 → F is a bilinear mapping, and μ 1 and μ 2 are, respectively, E 1 and E 2 valued positive, countably additive Baire or Borel measures (countable additivity relative to order convergence) on X 1 and X 2. Under certain conditions the existence and uniqueness of the F-valued, positive, product measure is proved. |
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| Keywords: | tight measure τ -smooth measure Dedekind complete vector lattice weakly σ -distributive vector lattice Baire set |
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