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arXiv · 1912.08690

Overcomplete sets in non-separable Banach spaces

Tommaso Russo·Jacopo Somaglia
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Abstract

We introduce and study the notion of overcomplete set in a Banach space, that subsumes and extends the classical concept of overcomplete sequence in a (separable) Banach space. We give existence and non-existence results of overcomplete sets for a wide class of (non-separable) Banach spaces and we study to which extent properties of overcomplete sequences are retained by every overcomplete set.

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Tommaso Russo, Jacopo Somaglia. 2019-12-18. Overcomplete sets in non-separable Banach spaces. https://doi.org/10.1090/proc/15213

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