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Volume 8, Issue 3, Article 90 |
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On Class $wF(p,r,q)$ Operators and Quasisimilarity
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Authors: |
Changsen Yang, Yuliang Zhao, |
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Keywords:
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Class $wF(p,r,q)$ operators, Fuglede-Putnam's theorem, Property $(beta)_varepsilon$, Subscalar, Subdecomposable. |
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Date Received:
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17/10/06 |
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Date Accepted:
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15/06/07 |
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Subject Codes: |
47B20, 47A30.
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Editors: |
Chi-Kwong Li, |
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Abstract: |
Let  be a bounded linear operator on a complex Hilbert space  . In this paper, we show that if belongs to class  operators, then we have (i)  whenever  for some  , where  is normal and  is injective with dense range. (ii) satisfies the property  , i.e., is subscalar, moreover, is subdecomposable. (iii) Quasisimilar class operators have the same spectra and essential spectra.
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