Moving Weyl's Theorem from ⨍(T) to T

• Autores: M. Febronio Rodríguez, B. P. Duggal, S.V. Djordjevic
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 33, Nº 2, 2018, págs. 209-218
• Idioma: inglés
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• Resumen

  • 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