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Discrete Duhamel product, restriction of weighted shift operators and related problems
unpublished
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By applying the discrete Duhamel product method we calculate the spectral multiplicity of the direct sum of some operators. In particular, we prove that µ(T |Xi ⊕ A) = 1 + µ(A) and µ(S ⊕ A) = 2 for the restriction of the weighted shift operator T |Xi, shift operator S and some appropriate operators A on the Banach spaces.
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