Polaroid operators satisfying Weyl’s theorem |
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Authors: | B.P. Duggal |
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Affiliation: | Northfield Avenue, 8 Redwood Grove, Ealing, London W5 4SZ, United Kingdom |
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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. |
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Keywords: | 47B47 47A10 47A11 |
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