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Spectral structure and subdecomposability of -hyponormal operators
Authors:Ruan Yingbin  Yan Zikun
Institution:Department of Mathematics, Fujian Normal University, Fuzhou, 350007, The People's Republic of China ; Department of Mathematics, Fujian Normal University, Fuzhou, 350007, The People's Republic of China
Abstract:We prove that for every $p$-hyponormal operator $A, 0<p\le 1,$ there corresponds a hyponormal operator $\tilde A$ such that $A$ and $\tilde A$ have ``equal spectral structure". We also prove that every $p$-hyponormal operator $A,0<p\le 1,$ is subdecomposable. Then some relevant quasisimilarity results are obtained, including that two quasisimilar $p$-hyponormal operators have equal essential spectra.

Keywords:Spectra  subdecomposability  $p$-hyponormal  quasisimilarity
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