Spectral Decomposition of a Functional
نویسندگان
چکیده
For a nite system A of bounded linear operators whose real linear combinations have real spectrum, the monogenic functional calculus is used to associate a function f(A) of the operators with any analytic function f in n real variables deened in a neighbourhood of the monogenic spectrum (A). Here, the existence of projection operators that decompose the functional calculus onto invariant subspaces associated with each connected component of the monogenic spectrum (A) is shown by employing Cauchy's integral formula in Cliiord analysis.
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