Geodesic
L 1-Sequential Convergence on Stone Spaces and Stone's Theorem on Unitary Semigroups
Canadian mathematical bulletin, Tome 18 (1975) no. 2, pp. 191-193

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The following theorem is a well-known tool in the study of measurable functions:Theorem. Let (M; μ) be a finite measure space and let (xn) be a sequence of functions in L1(M; μ) so that xn→0 in the norm of L1(M; μ). Then there is a sub-sequence so that xnk →0 pointwise almost everywhere on M. 
Cooper, J. B. L 1-Sequential Convergence on Stone Spaces and Stone's Theorem on Unitary Semigroups. Canadian mathematical bulletin, Tome 18 (1975) no. 2, pp. 191-193. doi: 10.4153/CMB-1975-038-6
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     title = {L {1-Sequential} {Convergence} on {Stone} {Spaces} and {Stone's} {Theorem} on {Unitary} {Semigroups}},
     journal = {Canadian mathematical bulletin},
     pages = {191--193},
     year = {1975},
     volume = {18},
     number = {2},
     doi = {10.4153/CMB-1975-038-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-038-6/}
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