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On the Auerbach bases of $l^{n}_p$ spaces
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classification
math.FAmath.DG
keywords
basesspacesauerbachcompletebanachbasiscardinalityclassification
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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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