Abstract
Let BL(ℍ) be a complex Banach algebra of all bounded linear operators acting on the Hilbert space ℍ. J. Globevnik and I. Vidav proved that when the range of an operator-valued analytic function with domain of definition D ⊂ ℂ consists of the normal operators, then f(D) is a commutative set in the algebra BL(ℍ). The paper strengthens this result for the topological algebras.
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