A trace estimate for p-hyponormal operators

DOI10.1007/BF01691913zbMath0519.47011OpenAlexW1974794391MaRDI QIDQ1054986

Paul S. Muhly, Daoxing Xiao, Raúl E. Curto

Publication date: 1983

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01691913

zbMATH Keywords

self-commutatorp-hyponormal operatorsBerger-Shaw theoremp-logarithmic measuretrace estimate

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) Linear operators on function spaces (general) (47B38)

Related Items (6)

Almost \(\alpha\)-hyponormal operators with Weyl spectrum of area zero ⋮ Relations between the Taylor spectrum and the Xia spectrum ⋮ $(\mathcal {C}_{p}, \alpha )$-hyponormal operators and trace-class self-commutators with trace zero ⋮ A trace estimate of \((T^*T)^ p-(TT^*)^ p\) ⋮ On log-hyponormal operators ⋮ Aluthge transforms of operators

Cites Work

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• Sufficiently high powers of hyponormal operators have rationally invariant subspaces
• On the analytic model of a class of hyponormal operators
• Mosaic and principal function of hyponormal and semi-hyponormal operators
• Spectral mapping of hyponormal or semi-hyponormal operators
• Mosaics, principal functions, and mean motion in von Neumann algebras
• On subclasses of hyponormal operators
• Selfcommutators of multicyclic hyponormal operators are always trace class

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