Geodesic
On the Convergence Vector Space L,(E, F) and its Dual Space
Canadian mathematical bulletin, Tome 21 (1978) no. 3, pp. 279-284

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Let E be a locally convex tvs, F a normed space and the space of continuous linear mappings from E into F In this paper, we investigate the continuous convergence structure (c-structure) on. denotes the resulting convergence vector space (cvs).The c-structure is by definition the coarsest cvs structure on making evaluation a continuous mapping. 
Beattie, Ronald. On the Convergence Vector Space L,(E, F) and its Dual Space. Canadian mathematical bulletin, Tome 21 (1978) no. 3, pp. 279-284. doi: 10.4153/CMB-1978-049-6
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     author = {Beattie, Ronald},
     title = {On the {Convergence} {Vector} {Space} {L,(E,} {F)} and its {Dual} {Space}},
     journal = {Canadian mathematical bulletin},
     pages = {279--284},
     year = {1978},
     volume = {21},
     number = {3},
     doi = {10.4153/CMB-1978-049-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-049-6/}
}
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