Spectral mapping theorems for holomorphic functional calculi

• Autores: Markus Haase
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 71, Nº 3, 2005, págs. 723-739
• Idioma: inglés
• DOI: 10.1112/s0024610705006538
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• Resumen

  • A spectral inclusion theorem and a spectral mapping theorem are proved for the functional calculus for sectorial operators. Most proofs are generic, so that similar results can be obtained for other functional calculi. Applications are a new proof for the spectral mapping theorem for fractional powers and the identity for any injective sectorial operator.