Extensions of the Berger-Shaw Theorem

DOI10.2307/2047214zbMath0659.47026OpenAlexW4252369860MaRDI QIDQ3808728

Eric Nordgren, Donald W. Hadwin

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047214

zbMATH Keywords

essential spectrumpositive operatortrace classBerger-Shaw trace inequality

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 (8)

Some consequences of Putinar's model of hyponormal operators concerning Hilbert-Schmidt commutators ⋮ A trace inequality for commuting \(d\)-tuples of operators ⋮ \(C^*\)-algebras generated by subnormal operators ⋮ Essential normality of operators close to isometries ⋮ Toeplitz operators on weighted Bergman spaces ⋮ Almost \(\alpha\)-hyponormal operators with Weyl spectrum of area zero ⋮ $(\mathcal {C}_{p}, \alpha )$-hyponormal operators and trace-class self-commutators with trace zero ⋮ A Fuglede-Putnam theorem modulo the Hilbert-Schmidt class for almost normal operators with finite modulus of Hilbert-Schmidt quasi-triangularity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Trace Class Self-Commutators
• Compact Perturbations, Normal Eigenvalues and a Problem of Salinas
• Selfcommutators of multicyclic hyponormal operators are always trace class

This page was built for publication: Extensions of the Berger-Shaw Theorem