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The numerical index of the \(L_{(p)}\) space of dimension two (Q2908081)

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scientific article; zbMATH DE number 6076486
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English
The numerical index of the \(L_{(p)}\) space of dimension two
scientific article; zbMATH DE number 6076486

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    4 September 2012
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    numerical index
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    numerical radius
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    Nakano sequence space
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    \(L_{(p)}\)-spaces
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    The numerical index of the \(L_{(p)}\) space of dimension two (English)
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    This paper is devoted to give a lower bound for the numerical index of the two-dimensional real Nakano space \(L_{(p_1,p_2)}\). The techniques used coincide with those appearing in [\textit{M. Martín} and \textit{J. Merí}, Linear Multilinear Algebra 57, No. 2, 201--204 (2009; Zbl 1175.46013)].
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