In this paper we consider two new variants of the classical Weyl ’s theorem for operators defined on Banach spaces. These variants called S-Weyl’s theorem and property (t) are stronger than the more classical variants of Weyl’s theorem, as a-Weyl’s theorem and property (ω) studied by several authors. In particular, we explore these two new variants for operators that commute with an injective quasi-nilpotent operators
Aiena P., Burderi F., Triolo S. (2024). On S-Weyl’s theorem and property (t) for some classes of operators. ACTA SCIENTIARUM MATHEMATICARUM [10.1007/s44146-024-00147-5].
On S-Weyl’s theorem and property (t) for some classes of operators
Aiena P.
;Burderi F.;Triolo S.
2024-01-01
Abstract
In this paper we consider two new variants of the classical Weyl ’s theorem for operators defined on Banach spaces. These variants called S-Weyl’s theorem and property (t) are stronger than the more classical variants of Weyl’s theorem, as a-Weyl’s theorem and property (ω) studied by several authors. In particular, we explore these two new variants for operators that commute with an injective quasi-nilpotent operators
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