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Polaroid operators satisfying Weyl’s theorem
Authors:B.P. Duggal
Affiliation:Northfield Avenue, 8 Redwood Grove, Ealing, London W5 4SZ, United Kingdom
Abstract:A Banach space operator T is polaroid and satisfies Weyl’s theorem if and only if T is Kato type at points λ ∈ iso σ(T) and has SVEP at points λ not in the Weyl spectrum of T. For such operators T, f(T) satisfies Weyl’s theorem for every non-constant function f analytic on a neighborhood of σ(T) if and only if f(T) satisfies Weyl’s theorem.
Keywords:47B47   47A10   47A11
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