Functional Calculus for Semi-Bounded Operators

Details Functional Calculus for Semi-Bounded Operators Functional Calculus for Semi-Bounded Operators

2002-12-05

arxiv.org/abs/math/0212093v1

Mathematics

Spectral Theory

LaTeX2e, 10 pages

Scientific paper

We build on the work by Davies, extending the Helffer-Sj\"ostrand 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.

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