$L^2$-Summand Vectors and Complemented Hilbertizable Subspaces
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 1143-1148

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In this paper, we show a necessary and sufficient condition for a real Banach space to have an infinite dimensional subspace which is hilbertizable and complemented using techniques related to $L^2$-summand vectors.
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     author = {Aizpuru, Antonio and Garc{\'\i}a-Pacheco, Francisco J.},
     title = {$L^2${-Summand} {Vectors} and {Complemented} {Hilbertizable} {Subspaces}},
     journal = {Bollettino della Unione matematica italiana},
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     volume = {Ser. 8, 10B},
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     year = {2007},
     zbl = {1200.46015},
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Aizpuru, Antonio; García-Pacheco, Francisco J. $L^2$-Summand Vectors and Complemented Hilbertizable Subspaces. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 1143-1148. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a45/