Geodesic
A weaker condition for normality
Glasgow mathematical journal, Tome 36 (1994) no. 2, pp. 249-253

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

One of the most important results of operator theory is the spectral theorem for normal operators. This states that a normal operator (that is, a Hilbert space operator T such that T*T= TT*), can be represented as an integral with respect to a countably additive spectral measure,Here E is a measure that associates an orthogonal projection with each Borel subset of C. The countable additivity of this measure means that if x EH can be written as a sum of eigenvectors then this sum must converge unconditionally. 
Doust, Ian. A weaker condition for normality. Glasgow mathematical journal, Tome 36 (1994) no. 2, pp. 249-253. doi: 10.1017/S0017089500030792
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