Moving Weyl’s theorem from ⨍(T) to T

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Moving Weyl’s theorem from ⨍(T) to T

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Title: Moving Weyl’s theorem from ⨍(T) to T
Author: Febronio Rodríguez, M.; Duggal, B.P.; Djordjević, S.V.
Abstract: 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 ⨍(T) whenever ⨍ ∈ Holo σ (T) is a function holomorphic on some neighbourhood of the spectrum of T. In this note we establish a converse.
URI: http://hdl.handle.net/10662/8626
Date: 2018


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