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- W2091744123 abstract "Theorem. A series $sum {{f_i}}$ in ${L_p}[0, 1](1 leqslant p leqslant 2)$ is unconditionally convergent if and only if for each $i$ and for all $t in [0, 1],;{f_i}(t) = {alpha _i}g(t){w_i}(t)$ where $({alpha _i}) in {l_2},;g in {L_2}[0, 1]$ and $({w_i})$ is an orthonormal sequence in ${L_2}[0, 2]$. This characterization allows the generalization (to u.c. series in ${L_p}[0, 1]$) of several classical theorems concerning almost everywhere convergence of orthogonal series in ${L_2}$." @default.
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- W2091744123 date "1976-02-01" @default.
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- W2091744123 title "A note on unconditionally converging series in $Lsb{p}$" @default.
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