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Vector-valued interval functions and the Dedekind completion of \(C(X,E)\) - MaRDI portal

Vector-valued interval functions and the Dedekind completion of \(C(X,E)\) (Q1683255)

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scientific article; zbMATH DE number 6816289
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Vector-valued interval functions and the Dedekind completion of \(C(X,E)\)
scientific article; zbMATH DE number 6816289

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    Vector-valued interval functions and the Dedekind completion of \(C(X,E)\) (English)
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    6 December 2017
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    The author extends the result of the paper [\textit{R. Anguelov}, Quaest. Math. 27, No. 2, 153--169 (2004; Zbl 1062.54017)] by giving the description of the Dedekind completion of the space \(C(X,E)\) with \(X\) a paracompact space and \(E\) a Banach lattice with order-continuous norm.
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    Banach-lattice-valued functions
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    Dedekind completion
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    interval analysis
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