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

Functional Analysis 2023-02-02 v1 Differential Geometry

Abstract

In this paper, we study Auerbach basis of the Banach spaces lpnl^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 lp3l^3_p (lp2l^2_p is easy).

Keywords

Cite

@article{arxiv.2302.00664,
  title  = {On the Auerbach bases of $l^{n}_p$ spaces},
  author = {Arun Maiti and Debmalya Sain},
  journal= {arXiv preprint arXiv:2302.00664},
  year   = {2023}
}

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