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Boundedness of Multiplicative Linear Functionals
Published online by Cambridge University Press: 20 November 2018
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Let A be a complex sequentially complete commutative locally m-convex topological algebra which is symmetric with continuous involution. The purpose of this note is to prove that every multiplicative linear functional on A is bounded (Theorem 3). In fact, we prove a more general result for operators on real algebras (Theorem 1) from which we derive the above result.
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- Copyright © Canadian Mathematical Society 1974
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