A Note on Unitary Cross Sections for Operators
Canadian journal of mathematics, Tome 30 (1978) no. 6, pp. 1215-1227

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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 .
Fialkow, Lawrence A. A Note on Unitary Cross Sections for Operators. Canadian journal of mathematics, Tome 30 (1978) no. 6, pp. 1215-1227. doi: 10.4153/CJM-1978-101-8
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[1] 1. Apostol, C., Inner derivations with closed range, Rev. Roum. Pures et Appl. 21 (1976), 249–265. Google Scholar

[2] 2. Apostol, C. and Stampfli, J. G., On derivation ranges, Indiana U. Math. J. 25 (1976), 857–869. Google Scholar

[3] 3. Bredon, G. E., Introduction to compact transformation groups (Academic Press, New York, 1972). Google Scholar

[4] 4. Bourbaki, N., General topology, Part II (Hermann, Paris, 1966). Google Scholar

[5] 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] 6. Dixmier, J., Les algebres d'operateurs dans Vespace Hilbertien (Gauthier-Villars, Paris, 1969). Google Scholar

[7] 7. Fialkow, L. A., A note on limits of unitarily equivalent operators, Trans. Amer. Math. Soc, 232, (1977), 205–220. Google Scholar

[8] 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] 9. Putnam, C. R., An inequality for the area of hyponormal spectra, Math. Z. 116 (1970), 323–330. Google Scholar

[10] 10. Salinas, N., Reducing essential eigenvalues, Duke Math. J. Ifi (1973), 561–580. Google Scholar

[11] 11. Stampfli, J. G., On the range of a hyponormal derivation, Proc. Amer. Math. Soc. 52 (1975), 117–120. Google Scholar

[12] 12. Voiculescu, D., A non-commutative Weyl-von Neumann theorem, Rev. Roum. Pures et Appl. 21 (1976), 97–113. Google Scholar

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