A characterization of real Hilbert spaces using the Bochnak complexification norm.

Ferrera Cuesta, JuanMuñoz-Fernández, Gustavo A.2023-06-202023-06-2020030003-889X10.1007/s00013-003-0471-3https://hdl.handle.net/20.500.14352/57235In this paper we find an alternative description of the Bochnak complexification of a real Hilbert space. This new interpretation of the Bochnak norm lets us give a characterization of a real inner product space.engA characterization of real Hilbert spaces using the Bochnak complexification norm.journal articlehttp://www.springerlink.com/content/19ta93w2eawq3av6/fulltext.pdf?MUD=MPhttp://www.springerlink.com/restricted access517.986.6517.518.45Banach-SpacesMultilinear mapsPolynomialsAnálisis matemático1202 Análisis y Análisis Funcional