no. 1
The dimensions of complemented hilbertian subspaces of uniformly convex Banach lattices
Compositio Mathematica, Tome 50 (1983) no. 1, pp. 83-92. 
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     author = {Lewis, D. R.},
     title = {The dimensions of complemented hilbertian subspaces of uniformly convex {Banach} lattices},
     journal = {Compositio Mathematica},
     pages = {83--92},
     publisher = {Martinus Nijhoff Publishers},
     volume = {50},
     number = {1},
     year = {1983},
     mrnumber = {719068},
     zbl = {0531.46017},
     language = {en},
     url = {http://www.numdam.org/item/CM_1983__50_1_83_0/}
}
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Lewis, D. R. The dimensions of complemented hilbertian subspaces of uniformly convex Banach lattices. Compositio Mathematica, Tome 50 (1983) no. 1, pp. 83-92. http://www.numdam.org/item/CM_1983__50_1_83_0/

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