Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the transpose map of matrix algebras


Author: Jun Tomiyama
Journal: Proc. Amer. Math. Soc. 88 (1983), 635-638
MSC: Primary 46L05; Secondary 16A42
MathSciNet review: 702290
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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\Vert {\theta (n)} \right\Vert _{cb}}$ equals $ n$. Some applications and related results are also proved.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46L05, 16A42

Retrieve articles in all journals with MSC: 46L05, 16A42


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0702290-4
PII: S 0002-9939(1983)0702290-4
Keywords: Completely bounded map, $ {C^*}$-algebra, matrix algebra
Article copyright: © Copyright 1983 American Mathematical Society