Functional Calculus

Carlos S. Kubrusly
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Carlos S. Kubrusly: Catholic University of Rio de Janeiro, Electrical Engineering Department

Chapter 4 in Spectral Theory of Operators on Hilbert Spaces, 2012, pp 91-129 from Springer

Abstract: Abstract Fix an operator T in the operator algebra $$\mathcal{B[H]}$$ . Suppose an operator $$\psi(T)$$ in $$\mathcal{B[H]}$$ can be associated to each function $$\psi:\Omega\to\mathbb{C}$$ on a nonempty set Ω, in a suitable algebra of functions F(Ω).

Keywords: Functional Calculus; Separable Hilbert Space; Complex Banach Space; Nonempty Open Subset; Unital Algebra (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-0-8176-8328-3_4

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