On the realization of lattice-normed spaces (Q1177543)
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scientific article; zbMATH DE number 20679
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the realization of lattice-normed spaces |
scientific article; zbMATH DE number 20679 |
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On the realization of lattice-normed spaces (English)
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26 June 1992
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The author develops a representation theory for lattice-normed vector spaces. The approach involved is motivated by the classical realization theorems for vector lattices which state their embeddability into spaces of continuous functions. The main object is a fibre bundle whose fibres are Banach spaces. The author applies his realization theorem to present disjointness-preserving operators.
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representation theory
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lattice-normed vector spaces
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spaces of continuous functions
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fibre bundle whose fibres are Banach spaces
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realization theorem
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disjointness-preserving operators
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