Authors
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F. Lombarkia
Department of Mathematics, Faculty of Science, University of Batna, 05000, Batna, Algeria
Author
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A. Bachir
Department of Mathematics, Faculty of Science, King Khalid University, Abha, P.O.Box 9004, Saudi Arabia
Author
Keywords:
Elementary Operators, -hyponormal, -hyponormal, Weyl's Theorem, single valued extension property
Subjects:
47B47, 47A30, 47B20
Abstract
Let be a separable infinite dimensional complex Hilbert space and let denote the algebra of bounded operators on into itself. Thegeneralized derivation is defined by . For pairs and of operators, we define the elementaryoperator by . If , weget the elementary operator . Let or . We prove that if are-hyponormal, then satisfies (generalized) Weyl's Theorem for eachanalytic function on a neighborhood of , we also prove that satisfies Browder's Theorem for each analytic function on aneighborhood of .