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arXiv · 2302.00664

On the Auerbach bases of $l^{n}_p$ spaces

Arun Maiti·Debmalya Sain
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Abstract

In this paper, we study Auerbach basis of the Banach spaces $l^n_p$. We provide a complete classification of the spaces in terms of the cardinality of their bases. We also give a complete description of these bases for $l^3_p$ ($l^2_p$ is easy).

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Arun Maiti, Debmalya Sain. 2023-02-01. On the Auerbach bases of $l^{n}_p$ spaces. https://arxiv.org/abs/2302.00664

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