On the transpose map of matrix algebras
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- by Jun Tomiyama PDF
- Proc. Amer. Math. Soc. 88 (1983), 635-638 Request permission
Abstract:
It is shown that for the transpose map $\theta (n)$ of the $n \times n$ matrix algebra ${M_n}$, its $k$ th multiplicity map $\theta {(n)_k}$ has exactly the norm $k$ if $k \leqslant n$, hence the completely bounded norm of $\theta (n)$ written ${\left \| {\theta (n)} \right \|_{cb}}$ equals $n$. Some applications and related results are also proved.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 88 (1983), 635-638
- MSC: Primary 46L05; Secondary 16A42
- DOI: https://doi.org/10.1090/S0002-9939-1983-0702290-4
- MathSciNet review: 702290