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Generalized Weyl's Theorem for Elementary Operators with Some Classes of Operators | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 24, Issue 3, 2013, Pages 107-116 | ||
| Author | ||
| Buthainah A. Ahmed | ||
| Abstract | ||
| Let be an infinite dimensional separable complex or real Hilbert space and let , where is the Banach algebra of all bounded linear operators on . Let and either the elementary operator for all or the generalized derivation for all . In this paper we prove the following If and in are dominant operators (or -paranormal operators) on a complex Hilbert space , then satisfy generalized Weyl's theorem. Let and in are dominant operators on a real Hilbert space , then satisfy generalized Weyl's theorem. | ||
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