Inequalities of Putnam and Berger-Shaw for \(p\)-quasihyponormal operators

DOI10.1007/BF01332494zbMath0931.47019MaRDI QIDQ1293854

Atsushi Uchiyama

Publication date: 23 February 2000

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

zbMATH Keywords

normtracehyponormal operatorSchatten normselfcommutator\(n\)-multicyclicPutnam's and Berger-Shaw's inequalities

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (7)

On operators satisfying \(T^{*}|T^2|T\geq T^{*}|T|^{2}T\) ⋮ On extensions of some Flugede–Putnam type theorems involving (p, k)‐quasihyponormal, spectral, and dominant operators ⋮ On operators satisfying \(T^*|T^{2}|T \geq T^*|T^*|^{2}T\) ⋮ On Quasi-Class A Operators ⋮ Isolated point of spectrum of \(p\)-quasihyponormal operators ⋮ Polaroid operators and Weyl type theorems ⋮ Isolated points of spectrum of (\(p,k\))-quasihyponormal operators

Cites Work

• Spectral theory of hyponormal operators
• Berger-Shaw's theorem for \(p\)-hyponormal operators
• On log-hyponormal operators
• Putnam's inequality for log-hyponormal operators
• On the ascent of composition operators
• An inequality for the area of hyponormal spectra
• Selfcommutators of multicyclic hyponormal operators are always trace class
• Putnam's Inequality for p-Hyponormal Operators
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