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- W2104536011 abstract "Shapiro’s lethargy theorem [48] states that if {An} is any non-trivial linear approximation scheme on a Banach space X ,t hen the sequences of errors of best approximation E(x,An )=i nfa∈An ∥x − an∥X may decay almost arbitrarily slowly. Recently, Almira and Oikhberg [11, 12] investigated this kind of result for general approximation schemes in the quasi-Banach setting. In this paper, we consider the same question for F-spaces with non decreasing metric d .W e also provide applications to the rate of decay of s-numbers, entropy numbers and slow convergence of sequences of operators." @default.
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- W2104536011 date "2014-01-01" @default.
- W2104536011 modified "2023-10-16" @default.
- W2104536011 title "On Shapiro's lethargy theorem and some applications" @default.
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