Geodesic
Fuglede's Commutativity Theorem and ∩ R(T - λ)
Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 331-334

Voir la notice de l'article provenant de la source Cambridge University Press

Fuglede's commutativity theorem for normal operators is an easy consequence of the result that: For T normal, denoting the range of T - λ by R(T - λ), ∩ {R(T - λ) : all λ} = {0}:
DOI : 10.4153/CMB-1990-055-9
Mots-clés : 47B20, 47B15 
Whitley, Robert. Fuglede's Commutativity Theorem and ∩ R(T - λ). Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 331-334. doi: 10.4153/CMB-1990-055-9
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[1] 1. Clancey, K., Seminormal Operators, Lecture Notes in Math #742, Springer-Verlag, New York, 1979. Google Scholar

[2] 2. Halmos, P., A Hilbert Space Problem Book, 2nd éd., Springer-Verlag, 1982. Google Scholar

[3] 3. Johnson, B., Continunity of linear operators commuting with continuous linear operators, Trans. A.M.S. 128 (1967), 88–102. Google Scholar

[4] 4. Johnson, B., and A. Sinclair, Continunity of linear operators commuting with continuous linear operators II, Trans. A.M.S. 146 (1969), 533–540. Google Scholar

[5] 5. Ptak, V., and P. Vrbova, On the spectral function of a normal operator, Czech. Math. J. 23 (1973), 615–616. Google Scholar

[6] 6. Putnam, C., Ranges of normal and subnormal operators, Mich. Math. J. 18 (1972), 33–36. Google Scholar

[7] 7. Putnam, C., Normal operators and strong limit approximations, Indiana Univ. Math. J. 32 (1983), 377– 379. Google Scholar

[8] 8. Sinclair, A., Automatic Continunity of Linear Operators Cambridge Univ. Press, Cambridge, 1976. Google Scholar

[9] 9. Stampfli, J., A local spectral theory for operators, J. Functional Analysis 4 (1969), 1–10. Google Scholar

[10] 10. Stampfli, J., A local spectral theory for operators II, Bull. Amer. Math. Soc. 75 (1969), 803–806. Google Scholar

[11] 11. Stampfli, J., A local spectral theory for operators III: resolvents, spectral sets, and similarity, Trans, Amer. Math. Soc. 168 (1972), pp. 133–151. Google Scholar

[12] 12. Stampfli, J., A local spectral theory for operators IV: Invariant subspaces, Indiana Univ. Math. J. 22 (1972), 159–167. Google Scholar

[13] 13. Stampfli, J., A local spectral theory for operators V: Spectral subspaces for hyponormal operators, Trans, Amer. Math. Soc. 217 (1976), 285–296. Google Scholar

[14] 14. Stampfli, J., and B. Wadha, An asymmetric Putnam-Fug le de theorem for dominant operators, Indiana Univ. Math. J. 25 (1976), 359–365. Google Scholar

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