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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/2539

Title: Weyl’s theorem for algebraically class: a Operators
Authors: Mecheri, Salah
Keywords: Hyponormal operator
Weyl's theorem
Compact normal operator
Hyponormal operator
Issue Date: 2007
Publisher: Belgian Mathematical Society
Citation: Bulletin of the Belgian Mathematical Society Simon Stevin: 14; 239–246
Abstract: Let A be a bounded linear operator acting on a Hilbert space H. In [32], A. Uchiyama proved that Weyl’s theorem holds for class A operators with the additional condition that kerA|[TH] = 0 and he showed that every class A operator whose Weyl spectrum equals to zero is compact and normal. In this paper we show that Weyl’s theorem holds for algebraically class A operator without the additional condition ker A|[TH] = 0. This leads as to show that a class A operator whose Weyl spectrum equals to zero is always compact and normal.
URI: http://hdl.handle.net/123456789/2539
Appears in Collections:College of Science

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