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A norm property for spaces of completely bounded maps between C*-algebras

Published online by Cambridge University Press:  18 May 2009

Tadasi Huruya
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Let Mn be the C*-algebra of n × n complex matrices. If A is a C*-algebra, let Mn(A) denote the C*-algebra of n × nmatrices a = [aij] with entries in A. For a linear map between C*-algebras, we define the multiplicity map by A linear map Ø is said to be completely bounded if Let B(A, B), CB(A, B) denote the Banach space of bounded linear maps, the set of completely bounded maps from A to B, respectively.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 29 , Issue 2 , July 1987 , pp. 181 - 184
Copyright
Copyright © Glasgow Mathematical Journal Trust 1987

References

1. Huruya, T., Decompositions of completely bounded maps, Acta Sci. Math. (Szeged), 50 (1986), 183–189.Google Scholar
2. Huruya, T. and Tomiyama, J., Completely bounded maps of C*-algebras, J. Operator Theory 10 (1983), 141–152.Google Scholar
3. Loebl, R. I., A Hahn decomposition for linear maps, Pacific J. Math. 65 (1976), 119–133.CrossRefGoogle Scholar
4. Pedersen, G. K., C*-algebras and their automorphism groups (Academic Press, 1979)Google Scholar
5. Smith, R. R., Completely bounded maps between C*-algebras, J. London Math. Soc.(2) 27 (1983), 157–166.CrossRefGoogle Scholar
6. Takesaki, M., Theory of operator algebras I (Springer, 1979).CrossRefGoogle Scholar
7. Tsui, S.-K. J., Decompositions of linear maps, Trans. Amer. Math. Soc. 230 (1977), 87–112.CrossRefGoogle Scholar