On the Definition of Hilbert Space.
Manuscripta mathematica, Tome 23 (1977), pp. 67-90.

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     author = {Herbert Gross and Hans A. Keller},
     title = {On the {Definition} of {Hilbert} {Space.}},
     journal = {Manuscripta mathematica},
     pages = {67--90},
     publisher = {mathdoc},
     volume = {23},
     year = {1977},
     zbl = {0365.46023},
     url = {http://geodesic.mathdoc.fr/item/MM2_1977__23_154508/}
}
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Herbert Gross; Hans A. Keller. On the Definition of Hilbert Space.. Manuscripta mathematica, Tome 23 (1977), pp. 67-90. http://geodesic.mathdoc.fr/item/MM2_1977__23_154508/