Browsing Department of Mathematics by Subject "Banach algebra;smooth function;extension"

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    • The algebra of smooth functions of rapid descent 

      Paul O Oleche, Naftali O Ongati, John O Agure (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 ...