On the space of bounded Euler difference sequences and some classes of compact operators (Q858856)

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scientific article; zbMATH DE number 5115451
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On the space of bounded Euler difference sequences and some classes of compact operators
scientific article; zbMATH DE number 5115451

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    On the space of bounded Euler difference sequences and some classes of compact operators (English)
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    11 January 2007
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    We consider the new sequence space \(a_\infty^r(\Delta)\) and characterize matrix transformations between \(a_\infty^r(\Delta)\) and certain BK spaces. Further, we define the subclasses of compact operators applying the Hausdorff measure of noncompactness.
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    sequence spaces
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    matrix transformations
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    compact operators
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    Hausdorff measure of noncompactness
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