Orthogonal bases in \(\ell ^{\infty}(X)\) (Q1070183)

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scientific article; zbMATH DE number 3933806
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Orthogonal bases in \(\ell ^{\infty}(X)\)
scientific article; zbMATH DE number 3933806

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    Orthogonal bases in \(\ell ^{\infty}(X)\) (English)
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    1984
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    We compute the dimension of \(\ell^{\infty}(X,K)\) for any complete field \(K\) endowed with a discrete valuation. As an application we characterize all Banach spaces over \(K\) which have a predual.
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    complete field \(K\) endowed with a discrete valuation
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    characterize all Banach spaces over \(K\) which have a predual
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