Browsing by Subject "Banach algebra;smooth function;extension"
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The algebra of smooth functions of rapid descent
(JOOUST, 2009)A bounded operator with the spectrum lying in a compact set V ⊂ R, has C∞(V ) functional calculus. On the other hand, an operator H acting on a Hilbert space H, admits a C(R) functional calculus if H is self-adjoint. So ...