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On linear isometries of Banach lattices in \(C_{0}(\Omega )\)-spaces - MaRDI portal

On linear isometries of Banach lattices in \(C_{0}(\Omega )\)-spaces (Q2655530)

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On linear isometries of Banach lattices in \(C_{0}(\Omega )\)-spaces
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    On linear isometries of Banach lattices in \(C_{0}(\Omega )\)-spaces (English)
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    25 January 2010
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    Let \(\Omega\) be a locally comapct space and let \(C_0(\Omega)\) denote the space of complex-valued continuous functions vanishing at infinity, equipped with some Banach lattice norm. In this paper, the author continues his earlier work (also with some collaborators) on the structure of linear isometries of this space. It is rather difficult to understand the paper without a clear idea of the earlier work.
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    Banach lattice
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    Banach-Stone theorem
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    linear isometries
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