Geodesic
Spectral properties of p-hyponormal operators
Glasgow mathematical journal, Tome 36 (1994) no. 1, pp. 117-122

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

Let H be a complex Hilbert space and B(H) be the algebra of all bounded linear opeators on H. An operator T ∈ B(H) is said to be p-hyponormal if (T*T)p–(TT*)p. If p = 1, T is hyponormal and if p = 1⁄2 is semi-hyponormal. It is well known that a p-hyponormal operator is p-hyponormal for q≤p. Hyponormal operators have been studied by many authors. The semi-hyponormal operator was first introduced by D. Xia in [7]. The p-hyponormal operators have been studied by A. Aluthge in [1]. Let T be a p-hyponormal operator and T=U|T| be a polar decomposition of T. If U is unitary, Aluthge in [1] proved the following properties. 
Chō, Muneo. Spectral properties of p-hyponormal operators. Glasgow mathematical journal, Tome 36 (1994) no. 1, pp. 117-122. doi: 10.1017/S0017089500030627
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