Who first defined the class of locally convex topological vector spaces?



Who first defined locally convex topological vector spaces?
Attributed to von Neumann (1935) in Dieudonné ([1953, p. 496](http://www.ams.org/mathscinet-getitem?mr=62334); [1981, p. 218](http://www.ams.org/mathscinet-getitem?mr=605488)), Köthe ([1956](http://www.ams.org/mathscinet-getitem?mr=80262), [p. 20](http://www.digizeitschriften.de/dms/img/?PID=GDZPPN002134764)), Schaefer ([1971, p. 37](http://www.ams.org/mathscinet-getitem?mr=342978)), Pietsch ([2007](http://www.ams.org/mathscinet-getitem?mr=2300779), [p. 68](https://books.google.com/books?id=MMorKHumdZAC&pg=PA68)), Narici-Beckenstein ([2011, p. 82](http://www.ams.org/mathscinet-getitem?mr=2723563)):



> 
> The first to consider LCS was von Neumann [[1935](https://www.emis.de/cgi-bin/JFM-item?61.0632.04), p. 4] who called them
>  convex spaces; the term “locally convex space” was first used by Tihonov
>  [[1935](https://www.emis.de/cgi-bin/JFM-item?61.1195.01), p. 768].
> 
> 
> 


(To Kolmogorov ([1934](https://www.emis.de/cgi-bin/JFM-item?60.1229.02)) they attribute general topological vector spaces. Wehausen ([1938, p. 158](https://www.emis.de/cgi-bin/JFM-item?64.0367.01)) has a detailed comparison of the axioms in Kolmogorov, von Neumann, and Tikhonov.)


