No CrossRef data available.
Article contents
Isometric Images of C* Algebras
Published online by Cambridge University Press: 20 November 2018
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
It is shown that if the isometric image of a linear subspace of Hilbert space operators is irreducible in a strong sense, then the isometry is either a multiplicative or anti-multiplicative map, possibly followed by multiplication by a unitary.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1984
References
2.
Dixmier, J., Les C*-algebres et leurs representations. Cahiers scientique fasc. 29, Gauthiers-Villars, Paris, 1964.Google Scholar
4.
Hoffman, K., Banach spaces of analytic functions, Prentice-Hall, Englewood Cliffs, N. J., 1962.Google Scholar
5.
Harris, L. A., Schwarz’s lemma in normed linear spaces, Proc. Nat. Acad. Sci. U.S.A. 62(1969) 1014–1017.Google Scholar
6.
Hopenwasser, A. and Plastiras, J., Isometries of Quasitriangular Operator Algebras, Proc. A.M.S.
65(1977) 242–244.Google Scholar
8.
Paterson, A. and Sinclair, A., Characterization of isometries between C*-algebras, J. London Math. Soc. (5)2(1972) 755–761.Google Scholar
9.
Störmer, E., Positive linear maps of Operator Algebras, Acta Math.
110(1963) 233–278.Google Scholar
You have
Access