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A Note on Unitary Cross Sections for Operators

Published online by Cambridge University Press:  20 November 2018

Lawrence A. Fialkow
Lawrence A. Fialkow*
Affiliation:
Western Michigan University, Kalamazoo, Michigan
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This note addresses the question of characterizing the elements of a C*-algebra which have local unitary cross sections in the sense described below. Let denote a C*-algebra with identity and let denote the unitary group in .

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 6 , 01 December 1978 , pp. 1215 - 1227
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Apostol, C., Inner derivations with closed range, Rev. Roum. Pures et Appl. 21 (1976), 249–265.Google Scholar
2. Apostol, C. and Stampfli, J. G., On derivation ranges, Indiana U. Math. J. 25 (1976), 857–869.Google Scholar
3. Bredon, G. E., Introduction to compact transformation groups (Academic Press, New York, 1972).Google Scholar
4. Bourbaki, N., General topology, Part II (Hermann, Paris, 1966).Google Scholar
5. Brown, L. G., Douglas, R. G., and Fillmore, P. A., Unitary equivalence modulo the compact operators and extensions of C*-algebras, Lecture Notes in Mathematics 345 (Springer- Verlag, 1973).Google Scholar
6. Dixmier, J., Les algebres d'operateurs dans Vespace Hilbertien (Gauthier-Villars, Paris, 1969).Google Scholar
7. Fialkow, L. A., A note on limits of unitarily equivalent operators, Trans. Amer. Math. Soc, 232, (1977), 205–220.Google Scholar
8. Putnam, C. R., The spectra of operators having resolvents of first-order growth, Trans. Amer. Math. Soc. 133 (1968), 505–510.Google Scholar
9. Putnam, C. R., An inequality for the area of hyponormal spectra, Math. Z. 116 (1970), 323–330.Google Scholar
10. Salinas, N., Reducing essential eigenvalues, Duke Math. J. Ifi (1973), 561–580.Google Scholar
11. Stampfli, J. G., On the range of a hyponormal derivation, Proc. Amer. Math. Soc. 52 (1975), 117–120.Google Scholar
12. Voiculescu, D., A non-commutative Weyl-von Neumann theorem, Rev. Roum. Pures et Appl. 21 (1976), 97–113.Google Scholar