An integral analogue to parallelogram law
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- by A. J. Penico and Č. V. Stanojević PDF
- Proc. Amer. Math. Soc. 79 (1980), 427-430 Request permission
Comment: Proc. Amer. Math. Soc. 82 (1981), 105-106.
Abstract:
It is shown that there is an integral analogue to the classical characterization of inner product spaces. The sharp bounds for the integral of the norm are found.References
- A. J. Penico and Č. V. Stanojević, Some characterizations of inner-product spaces, Notices Amer. Math. Soc. 24 (1977), A-123.
- 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
- 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
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 79 (1980), 427-430
- MSC: Primary 46C99
- DOI: https://doi.org/10.1090/S0002-9939-1980-0567985-1
- MathSciNet review: 567985