A factorization for orthogonally additive operators on Banach lattices (Q2414748)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A factorization for orthogonally additive operators on Banach lattices |
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A factorization for orthogonally additive operators on Banach lattices (English)
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17 May 2019
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The author introduces the following notion: A monotone map $T$ from of a vector lattice $E$ or a subset of the positive cone of $E$ is a generalized orthomorphism, provided that $Tf$ is orthogonal to $g$ when $f$ and $g$ are orthogonal members of the domain of $T$. Some criteria are given for a monotone orthogonally additive mapping to be a generalized orthomorphism. A few applications are presented.
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Banach lattices
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orthogonally additive operators
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orthomorphisms
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extremally disconnected
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point-wise determined
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locally determined
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