عنوان
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Some results on the classes of D-normal operators and n-power D-normal operators
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Drazin inverse; Fuglede-Putnam theorem; D-normal operators; n-power D-normal operators.
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چکیده
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Let B(H) be space of all bounded linear operators on a complex Hilbert space H, and S; T 2 B(H) be Drazin invertible. In this paper we investigate a necessary and sufficient condition for the D-normality of ST and TS. Also, we deduce a result relating the factors in a polar decomposition of S to the D-normality of ST and TS. Moreover, we generalize Fuglede-Putnam commutativity theorem for D-normal matrices. Finally, we generalize these results when the n-power D-normal operators are considered.
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پژوهشگران
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رامش یوسفی (نفر دوم)، منصور دانا (نفر اول)
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