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

Arun Maiti; Debmalya Sain

REVIEW

On the Auerbach bases of l^(n)_p spaces

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2302.00664 v1 pith:AKS3UJM7 submitted 2023-02-01 math.FA math.DG

On the Auerbach bases of l^(n)_p spaces

Arun Maiti , Debmalya Sain This is my paper

classification math.FA math.DG

keywords basesspacesauerbachcompletebanachbasiscardinalityclassification

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original 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).

On the Auerbach bases of l^(n)_p spaces

discussion (0)