$(\mathcal {C}_{p}, \alpha )$-hyponormal operators and trace-class self-commutators with trace zero

DOI10.1090/S0002-9939-08-09731-1zbMath1179.47022MaRDI QIDQ3617582

Vasile Lauric

Publication date: 30 March 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Aluthge transformWeyl spectrum\(\alpha\)-commutators\((C_p, \alpha)\)-hyponormal operatorstrace zero

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (2)

A note on \(({\mathcal C}_p,\alpha )\)-hyponormal operators ⋮ Some properties of Furuta type inequalities and applications

Cites Work

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• A trace estimate for p-hyponormal operators
• Extensions of the Berger-Shaw Theorem
• Compact Perturbations, Normal Eigenvalues and a Problem of Salinas
• Integral representation formula for generalized normal derivations
• Weyl's theorem holds for p-hyponormal operators
• $A \geq B \geq 0$ Assures $(B^r A^p B^r)^{1/q} \geq B^{(p+2r)/q$ for $r \geq 0$, $p \geq 0$, $q \geq 1$ with $(1 + 2r)q \geq p + 2r$
• Spectral pictures of Aluthge transforms of operators

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