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weighted shift operator; almost normal operator; hyponormal operator

References:

[1] Lauric, V.: **Remarks on hyponormal operators and almost normal operators**. Matematiche (Catania) 72 (2017), 3-8. MR 3666546

[2] Pasnicu, C.: **Weighted shifts as direct summands mod $\mathcal C_2$ of normal operators**. Dilation Theory, Toeplitz operators, and Other Topics 7th Int. Conf. Oper. Theory, Timisoara, 1982, Oper. Theory, Adv. Appl. {\it 11} (1983) 275-281. MR 0789643 | Zbl 0527.47021

[3] Putinar, M.: **Hyponormal operators are subscalar**. J. Oper. Theory 12 (1984), 385-395. MR 0757441 | Zbl 0573.47016

[4] Voiculescu, D.: **Hilbert space operators modulo normed ideals**. Proc. Int. Congr. Math. Warszawa, 1983 2 (1984), 1041-1047. MR 0804756 | Zbl 0594.46063

[5] Voiculescu, D. V.: **Almost normal operators mod Hilbert-Schmidt and the $K$-theory of the Banach algebras $E\Lambda(\Omega)$**. J. Noncommut. Geom. 8 (2014), 1123-1145. DOI 10.4171/JNCG/181 | MR 3310942 | Zbl 1325.46074