On the topology of the space of convolution operators in 𝐾’_{𝑀}

Abdullah, Saleh

doi:10.1090/S0002-9939-1990-1017842-8

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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