학술논문
Operator space structures on $\ell^1(n)$.
Document Type
Journal
Author
Gupta, Rajeev (6-IIS) AMS Author Profile; Ramiz Reza, Md. (6-IIS) AMS Author Profile
Source
Subject
47 Operator theory -- 47A General theory of linear operators
47A20Dilations, extensions, compressions
47A20
Language
English
Abstract
Summary: ``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 $k\in\Bbb N$ and discuss a class of infinite dimensional operator space structures on it.''