A Radon-Nikodým type theorem for orthosymmetric bilinear operators (Q987449)
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scientific article; zbMATH DE number 5770269
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Radon-Nikodým type theorem for orthosymmetric bilinear operators |
scientific article; zbMATH DE number 5770269 |
Statements
A Radon-Nikodým type theorem for orthosymmetric bilinear operators (English)
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13 August 2010
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The author proves some new facts concerning the structure of the square of a vector lattice, characterizes orthoregular bilinear operators that may be presented as differences of symmetric lattice bimorphisms, and provide a Radon-Nikodým type theorem for orthosymmetric order continuous order interval preserving bilinear operators. At the end of the paper, the author makes many interesting remarks.
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orthosymmetric bilinear operator
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functional calculus
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squares of vector lattices
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bilinear Maharam operator
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