Functional Calculus for Semi-Bounded Operators

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We build on the work by Davies, extending the Helffer-Sjöstrand Functional Calculus domain for semi-bounded operators on Banach spaces given a priori controlled growth of the resolvents. We employ Seeley's Extension Theorem to extend smooth functions on the half line to the whole line and thus indirectly define functions of these operators.
LaTeX2e, 10 pages

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Spectral Theory, Functional Analysis, 47A60 47A10 47F05 35P05

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http://salesiana.dossiersoluciones.com/handle/123456789/65906

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0212093
 http://arxiv.org/abs/math/0212093

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arXiv