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Left and right Browder operator matrices on a Banach space

Let X,Y be Banach spaces, and upper triangular operator matrices acting on X?Y are studied. Given bounded operators A, B, we obtain several equivalent conditions forMX = [A X 0… Click to show full abstract

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

Keywords: operator; right browder; browder operator; browder; operator matrices; left right

Journal Title: Filomat
Year Published: 2024

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