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Yayın On property (UWE) under functional calculus(Maltepe Üniversitesi, 2019) Kachad, MohammedIn this note we study the properties (UWE) and (WE) are the variant of Weyl’s theorem. We establish for a bounded linear operator defined on a Banach space several sufficient and necessary conditions for which property (UWE) holds. We also relate this property with property (UW?), and we show that if T is polaroid and T satisfies property (UWE) then properties (UWE) and (UW?) are equivalent under functional calculus f(T).