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Characterizations of almost convergent sequences in a Hilbert space or in \(L^p(T)\) - MaRDI portal

Characterizations of almost convergent sequences in a Hilbert space or in \(L^p(T)\) (Q2480612)

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Characterizations of almost convergent sequences in a Hilbert space or in \(L^p(T)\)
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    Characterizations of almost convergent sequences in a Hilbert space or in \(L^p(T)\) (English)
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    3 April 2008
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    The authors study almost convergence in Hilbert space and in \(L^p\) space, \(1<p<\infty\). They give some different characterizations of almost convergence for the Hilbert space and for the space \(L^2\) and also show the relation of their results with some known results. They also discuss the case \(L^p\), \(p>2\), and give some related results for the case.
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    almost convergent sequences
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    de la Vallee-Poussin means
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    Parseval formula
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    Hausdorff-Young inequality
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