A characterization of inner product spaces
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- by David Albert Senechalle
- Proc. Amer. Math. Soc. 19 (1968), 1306-1312
- DOI: https://doi.org/10.1090/S0002-9939-1968-0239404-0
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References
- P. Jordan and J. Von Neumann, On inner products in linear, metric spaces, Ann. of Math. (2) 36 (1935), no. 3, 719–723. MR 1503247, DOI 10.2307/1968653
- Mahlon M. Day, Some characterizations of inner-product spaces, Trans. Amer. Math. Soc. 62 (1947), 320–337. MR 22312, DOI 10.1090/S0002-9947-1947-0022312-9
- E. R. Lorch, On certain implications which characterize Hilbert space, Ann. of Math. (2) 49 (1948), 523–532. MR 26249, DOI 10.2307/1969042
- I. J. Schoenberg, A remark on M. M. Day’s characterization of inner-product spaces and a conjecture of L. M. Blumenthal, Proc. Amer. Math. Soc. 3 (1952), 961–964. MR 52035, DOI 10.1090/S0002-9939-1952-0052035-9
Bibliographic Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 1306-1312
- MSC: Primary 46.15
- DOI: https://doi.org/10.1090/S0002-9939-1968-0239404-0
- MathSciNet review: 0239404