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Proceedings of the American Mathematical Society

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On the topology of the space of convolution operators in $ K'\sb M$


Author: Saleh Abdullah
Journal: Proc. Amer. Math. Soc. 110 (1990), 177-185
MSC: Primary 46F05; Secondary 46F10
DOI: https://doi.org/10.1090/S0002-9939-1990-1017842-8
MathSciNet review: 1017842
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Abstract: In this paper we show that on the space $ {O'_c}\left( {{{K'}_M}:{{K'}_M}} \right)$ of convolution operators on $ {K'_M}$, the topology $ {\tau _b}$ of uniform convergence on bounded subsets of $ {K_M}$ is equal to the strong dual topology.


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DOI: https://doi.org/10.1090/S0002-9939-1990-1017842-8
Article copyright: © Copyright 1990 American Mathematical Society