| Quasisimilarity of Operators and Properties of the Essential Spectrum |
| Received:May 08, 2004 |
| Key Words:
bounded linear operator quasisimilarity essential spectrum component.
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| Abstract: |
| Let $A$ and $B$ be quasisimilar operators. By means of the analysis of the precise constitution of spectrum of operators, this paper gives the intersection relations between the components of the Wolf essential spectrum, the Kato essential spectrum, the Weyl essential spectrum, the right essential spectrum of operator $A$ and some subsets of the Wolf essential spectrum of operator $B$, and positively answers the question of L.A.Fialkow in [3]. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2006.03.022 |
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