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The M-basis Problem for Separable Banach Spaces (1305.0260v1)
Published 30 Apr 2013 in math.FA
Abstract: In this note we show that, if $\mcB$ is separable Banach space, then there is a biorthogonal system ${x_n, x_n*}$ such that, the closed linear span of ${x_n},\bar{\left\langle {{x_n}}\right\rangle}=\mcB$ and $\left| {x_n} \right|\left| {x_n*} \right| = 1$ for all $n$.
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