Abstract
For an-multicyclicp-hyponormal operatorT, we shall show that |T|2p−|T *|2p belongs to the Schatten\(\frac{1}{p} - class C_{\frac{1}{p}} \) and that tr\(\left( {(|T|^{2p} - |T*|^{2p} )^{\frac{1}{p}} } \right) \leqslant \frac{n}{\pi }\) Area (σ(T)).
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Uchiyama, A. Berger-Shaw's theorem forp-hyponormal operators. Integr equ oper theory 33, 221–230 (1999). https://doi.org/10.1007/BF01233965
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DOI: https://doi.org/10.1007/BF01233965