In this paper, we give some results on two new variants of the classical Weyl type theorems for operators defined on Banach spaces. We investigate the relationship between these variants, and we also give some perturbation results. In the last part the theory is applied to Toeplitz operators on Hardy spaces with continuous symbol.
Aiena, P., Burderi, F., Triolo, S. (2025). Further Results on Two Stronger Variants of Weyl’s Theorem. MEDITERRANEAN JOURNAL OF MATHEMATICS, 22(3) [10.1007/s00009-025-02816-3].
Further Results on Two Stronger Variants of Weyl’s Theorem
Aiena P.;Burderi F.;Triolo S.
2025-01-01
Abstract
In this paper, we give some results on two new variants of the classical Weyl type theorems for operators defined on Banach spaces. We investigate the relationship between these variants, and we also give some perturbation results. In the last part the theory is applied to Toeplitz operators on Hardy spaces with continuous symbol.
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