On the transpose map of matrix algebras

Author:
Jun Tomiyama

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

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Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that for the transpose map of the matrix algebra , its th multiplicity map has exactly the norm if , hence the completely bounded norm of written equals . Some applications and related results are also proved.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1983-0702290-4

Keywords:
Completely bounded map,
-algebra,
matrix algebra

Article copyright:
© Copyright 1983
American Mathematical Society