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math.SP2022
Almost invertible operators
Zakariae Aznay, Abdelmalek Ouahab, Hassan Zariouh
We prove that a bounded linear operator is a direct sum of an invertible operator and an operator with at most countable spectrum iff $0\notin\mbox{acc}^{ω_{1}}\,σ(T),$ where $…
math.SP2021
On the class -operators
Zakariae Aznay, Hassan Zariouh
It is well known that an hyponormal operator satisfies Weyl's theorem. A result due to Conway shows that the essential spectrum of a normal operator consists precisely of all p…