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

Md Ramiz Reza; Rajeev Gupta

arxiv: 1605.03769 · v1 · pith:CDG3G3WNnew · submitted 2016-05-12 · 🧮 math.FA

Operator Space Structures on ell¹(n).

Rajeev Gupta , Md Ramiz Reza This is my paper

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keywords spacecomplexoperatorstructuresclassdimensionaldiscussembedding

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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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Operator Space Structures on ell¹(n).

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