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arXiv · 1305.0260

The M-basis Problem for Separable Banach Spaces

Tepper L Gill
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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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Tepper L Gill. 2013-04-30. The M-basis Problem for Separable Banach Spaces. https://arxiv.org/abs/1305.0260

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