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arXiv · 1806.07943

A note on Basis Problem in normed spaces

Vinicius Coelho·Joilson Ribeiro·Luciana Salgado
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Abstract

In this work, we prove the criterion of Banach-Grunblum and the principle of selection of Bessaga-Pe\l{}czy\'nski for normed spaces. As applications of these results, we show the Principle of Selection of Bessaga-Pe\l{}czy\'nski for normed spaces and the Spectral Theorem for compact self-adjoint operators on inner product spaces.

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Vinicius Coelho, Joilson Ribeiro, Luciana Salgado. 2018-06-20. A note on Basis Problem in normed spaces. https://arxiv.org/abs/1806.07943

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