A NOTE ON SPECTRAL CONTINUITY

In the present note, provided T 2 L (H ) is biqua- sitriangular and Browder's theorem hold for T , we show that the spectrum is continuous at T if and only if the essential spectrum e is continuous at T. c The Kangwon-Kyungki Mathematical Society, 2015. This is an Open Access article distributed under the terms of the Creative com- mons Attribution Non-Commercial License (http://creativecommons.org/licenses/by -nc/3.0/) which permits unrestricted non-commercial use, distribution and reproduc- tion in any medium, provided the original work is properly cited.