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A Genuine Topology for the Field of Mikusiński Operators
Published online by Cambridge University Press: 20 November 2018
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Let C denote the complex algebra of continuous functions of a non-negative real variable under addition, scalar multiplication and convolution. C has no divisors of zero and its quotient field F is called the field of Mikusiński operators [1]. It is well known that Mikusiński has defined a sequential convergence in F which is not topological [2]. Using a recent result due to T.K. Boehem [3] we shall provide F with a sequential convergence which is topological.
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- Copyright © Canadian Mathematical Society 1968
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