In this paper, we study Browder-type and Weyl-type theorems for operators T+ K defined on a Banach space X, where K is (a non necessarily commuting) compact operator on X. In the last part, the theory is exemplified in the case of isometries, analytic Toeplitz operators, semi-shift operators, and weighted right shifts.
Aiena, P., Triolo, S. (2018). Weyl-Type Theorems on Banach Spaces Under Compact Perturbations. MEDITERRANEAN JOURNAL OF MATHEMATICS, 15(3) [10.1007/s00009-018-1176-y].
Weyl-Type Theorems on Banach Spaces Under Compact Perturbations
Aiena, Pietro;Triolo, Salvatore
2018-01-01
Abstract
In this paper, we study Browder-type and Weyl-type theorems for operators T+ K defined on a Banach space X, where K is (a non necessarily commuting) compact operator on X. In the last part, the theory is exemplified in the case of isometries, analytic Toeplitz operators, semi-shift operators, and weighted right shifts.
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