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Upper triangular operator matrices and limit points of the essential spectrum

Upper triangular operator matrices and limit points of the essential spectrum

In this paper, we investigate the limit points set of essential spectrum of upper triangular operator matrices We prove that accσe(MC) ∪ W = accσe(A) ∪ accσe(B) where W is the union of certain holes in accσe(MC), which happen to be subsets of accσe(B) ∩ accσe(A). Also, several sufficient conditions …