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

Abstract

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

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