Spectral structure and subdecomposability of <IMG ALIGN=MIDDLE HEIGHT=18 WIDTH=10>-hyponormal operators期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Spectral structure and subdecomposability of -hyponormal operators

Authors:	Ruan Yingbin Yan Zikun

Affiliation:	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 -hyponormal operator $A, 0<p\le 1,$ there corresponds a hyponormal operator $\tilde A$ such that and $\tilde A$ have ``equal spectral structure". We also prove that every -hyponormal operator $A,0<p\le 1,$ is subdecomposable. Then some relevant quasisimilarity results are obtained, including that two quasisimilar -hyponormal operators have equal essential spectra.

Keywords:	Spectra subdecomposability $p$-hyponormal quasisimilarity

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