Left and right Browder operator matrices on a Banach space

Aichun Liu, Junjie Huang, Alatancang Chen


Let X,Y be Banach spaces, and upper triangular operator matri-
ces acting on X ⊕ Y are studied. Given bounded operators A,B, we obtain several equivalent conditions for MX =[A X
0 B] to be a left Browder, a right Browder and a Browder operator for some bounded unknown operator X. Finally, a example is presented to illustrate the main conclusion.


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