Moving Weyl’s Theorem from f (T ) to T
Schmoeger has shown that if Weyl’s theorem holds for an isoloid Banach space operator T ∈ B(X) with stable index, then it holds for f (T ) whenever f ∈ Holo σ(T ) is a function holomorphic on some neighbourhood of the spectrum of T . In this note we establish a converse.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Extremadura
2018-12-01
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| Series: | Extracta Mathematicae |
| Subjects: | |
| Online Access: | https://publicaciones.unex.es/index.php/EM/article/view/76 |