Weyl's theorem through local spectral theory
نویسندگان
چکیده
منابع مشابه
WEYL’S THEOREM, a-WEYL’S THEOREM, AND LOCAL SPECTRAL THEORY
We give necessary and sufficient conditions for a Banach space operator with the single valued extension property (SVEP) to satisfy Weyl’s theorem and a-Weyl’s theorem. We show that if T or T ∗ has SVEP and T is transaloid, then Weyl’s theorem holds for f(T ) for every f ∈ H(σ(T )). When T ∗ has SVEP, T is transaloid and T is a-isoloid, then a-Weyl’s theorem holds for f(T ) for every f ∈ H(σ(T ...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2002
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089502020141