Berger-Shaw's theorem for \(p\)-hyponormal operators

DOI10.1007/BF01233965zbMath0924.47015MaRDI QIDQ1283992

Atsushi Uchiyama

Publication date: 14 November 1999

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

zbMATH Keywords

Schatten class\(n\)-multicyclic \(p\)-hyponormal operatorBerger-Shaw's theorem

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 (3)

Angular cutting for log-hyponormal operators ⋮ Inequalities of Putnam and Berger-Shaw for \(p\)-quasihyponormal operators ⋮ Isolated point of spectrum of \(p\)-hyponormal, log-hyponormal operators.

Cites Work

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• An inequality for the area of hyponormal spectra
• On p-hyponormal operators for \(0<p<1\)
• A note on $p$-hyponormal operators
• Selfcommutators of multicyclic hyponormal operators are always trace class
• Putnam's Inequality 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 $(1 + 2r)q \geq p + 2r$

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