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UBC Theses and Dissertations

Commuting operator solutions of algebraic equations. Insley, Robin Bruce

Abstract

Let X be a fixed Banach space, S a scalar type operator in B(X), and G a complex polynomial in two indeterminates. The aim of this thesis is to characterize all operators T ∊ B(X) which commute with S and satisfy the algebraic equation G(S,T) = 0.

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