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THE OPERATOR SHIFT SPACE
Published online by Cambridge University Press: 04 February 2008
Abstract
We construct and examine an operator space $X$, isometric to $\ell_2$, such that every completely bounded map from its subspace $Y$ into $X$ is a compact perturbation of a linear combination of multiples of a shift of given multiplicity and their adjoints. Moreover, every completely bounded map on $X$ is a Hilbert–Schmidt perturbation of such a linear combination.
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 51 , Issue 1 , February 2008 , pp. 229 - 263
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- Copyright © Edinburgh Mathematical Society 2008
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