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Essential point spectra of operator matrices trough local spectral theory |
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| Authors: | S.V. Djordjevi? H. Zguitti |
| Affiliation: | a Facultad de Ciencias Físico-Matemáticas, BUAP, Apdo. Postal 1152, Puebla, Pue. CP. 72000, Mexico b Département de Mathématiques et Informatique, Faculté des Sciences de Rabat, BP 1014, Rabat, Morocco |
| Abstract: | For A∈B(X), B∈B(Y) and C∈B(Y,X), let MC be the operator defined on X⊕Y by  . In this paper, we study defect set (Σ(A)∪Σ(B))?Σ(MC), where Σ is the Browder spectrum, the essential approximate point spectrum and Browder essential approximate point spectrum. We then give application for Weyl's and Browder's theorems. |
| Keywords: | Operator matrices Browder's theorem Weyl's theorem |
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