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On properties of bases after their orthogonalization
V. M. Veselov
Abstract:
We wish to determine which $L^p$ spaces have bases formed by orthogonalizing a sequence of functions $\{f_n\}$ that is a basis in $C(0,1)$. We show that the answer to this question depends on the sequence of functions $\{f_n\}$ and also on the method of orthogonalization.
Received: 01.04.1970
Citation:
V. M. Veselov, “On properties of bases after their orthogonalization”, Math. USSR-Izv., 4:6 (1970), 1429–1446
Linking options:
https://www.mathnet.ru/eng/im2473https://doi.org/10.1070/IM1970v004n06ABEH000998 https://www.mathnet.ru/eng/im/v34/i6/p1416
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