The Cesàro core of double sequences (Q638148)

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scientific article; zbMATH DE number 5946528
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The Cesàro core of double sequences
scientific article; zbMATH DE number 5946528

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    The Cesàro core of double sequences (English)
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    9 September 2011
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    Summary: We characterize a new type of core for double sequences, the \(P_C\)-core, and determine necessary and sufficient conditions on a four-dimensional matrix \(A\) to yield \(P_C\)-core \(\{Ax\} \subseteq {\alpha}(P\text{-core}\{x\})\) for all \(x\in \ell^{\infty}_2\).
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    core
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    double sequences
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