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arXiv · 1605.03769

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

Rajeev Gupta·Md Ramiz Reza
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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.

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Rajeev Gupta, Md Ramiz Reza. 2016-05-12. Operator Space Structures on $\ell^1(n).$. https://arxiv.org/abs/1605.03769

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