Weyl's theorem for f(T) when T is a dominant operator

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Abstract

Let T be a dominant operator that is a quasi-affine transform of an M-hyponormal operator. In this paper we show that if f is a function analytic on a neighborhood of the spectrum of T, then Weyl's theorem holds for f[T).

Original languageEnglish
Pages (from-to)359-363
Number of pages5
JournalGlasgow Mathematical Journal
Volume43
Issue number3
StatePublished - 2001

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