Browder's theorems and spectral continuity

By S. Djordjević, Y. Han. Glasgow Mathematical Journal, 2000

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Generalized Weyl's theorem and hyponormal operators (2004, background): “In his paper [1], Barnes considered version II of Weyl's theorem (called also Browder's theorem in [8]): What conditions on T imply that T satisfies o~w(T) = cr(T) \ Ylo(T), where FloCr) is the set of poles of the resolvent of T of finite rank"? Recall that an isolated point X of the spectrum a(T) o”
ON THE EQUIVALENCE OF BROWDER'S AND GENERALIZED BROWDER'S THEOREM (2006, methodology): “The investigation of operators obeying Weyl’s theorem, a-Weyl’s theorem, Browder’s theorem or a-Browder’s theorem was studied by many mathematicians [7, 8, 9, 10, 11, 12, 14, 15, 18, 20, 22] and the references cited therein.”
Essential point spectra of operator matrices trough local spectral theory (2008, background): “In [6,12], it is shown that for any T ∈ B(X) we have the implications:”