On fragments on lattice normed vector lattices (Q6078337)
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scientific article; zbMATH DE number 7753758
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On fragments on lattice normed vector lattices |
scientific article; zbMATH DE number 7753758 |
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On fragments on lattice normed vector lattices (English)
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24 October 2023
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Considering a lattice normed vector space \((V,\|\cdot\|, E)\) with \(E\) a vector lattice, the codomain of \(\|\cdot\|\), the authors call \(z\in V\) a \((bo)\)-fragment of \(x\in V\) provided that \(\|z\|+\|x - z\|=0\). The elementary properties of \((bo)\)-fragments are demonstrated and specified for \(C[0,1]\).
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fragments
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$(bo)$-fragments
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lattice normed vector lattices
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