Geodesic
On Convergence of Projections in Locally Convex Spaces
Canadian mathematical bulletin, Tome 9 (1966) no. 1, pp. 107-110

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This note is concerned with the extension to locally convex spaces of a theorem of J. Y. Barry [ 1 ]. The basic assumptions are as follows. E is a separated locally convex topological vector space, henceforth assumed to be barreled. E' is its strong dual. For any subset A of E, we denote by w(A) the closure of A in the σ-(E, E')-topology. See [ 2 ] for further information about locally convex spaces. By a projection we shall mean a continuous linear mapping of E into itself which is idempotent. 
On Convergence of Projections in Locally Convex Spaces. Canadian mathematical bulletin, Tome 9 (1966) no. 1, pp. 107-110. doi: 10.4153/CMB-1966-015-2
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     journal = {Canadian mathematical bulletin},
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     year = {1966},
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     number = {1},
     doi = {10.4153/CMB-1966-015-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-015-2/}
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