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On Carnot scalar products in weakly normed vector spaces. (Über das Carnotsche Skalarprodukt in schwach normierten Vektorräumen.) (German) Zbl 0318.46030


MSC:

46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
46C99 Inner product spaces and their generalizations, Hilbert spaces
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References:

[1] Neumann, J. von,Operator theory, Mimeographed Lecture Notes, Princeton, 1934.
[2] James, R. C.,Orthogonality in normed linear spaces, Duke Math. J.12 (1945), 291–302. · Zbl 0060.26202 · doi:10.1215/S0012-7094-45-01223-3
[3] Aczél, J.,The general solution of two functional equations by reduction to functions additive in two variables and with the aid of Hamel bases, Glasnik Mat.-Fiz. Astronom. II Drustvo Mat. Fiz. Hrvatske20 (1965), 65–73. · Zbl 0151.20904
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