English

Operator Space Structures on $\ell^1(n).$

Functional Analysis 2016-05-13 v1

Abstract

We show that the complex normed linear space 1(n),\ell^1(n), n>1,n>1, has no isometric embedding into k×kk\times k complex matrices for any kNk\in \mathbb{N} and discuss a class of infinite dimensional operator space structures on it.

Keywords

Cite

@article{arxiv.1605.03769,
  title  = {Operator Space Structures on $\ell^1(n).$},
  author = {Rajeev Gupta and Md Ramiz Reza},
  journal= {arXiv preprint arXiv:1605.03769},
  year   = {2016}
}

Comments

6 pages. arXiv admin note: text overlap with arXiv:1508.07199

R2 v1 2026-06-22T13:59:18.438Z