Article PDF
Avoid common mistakes on your manuscript.
References
Birkhoff, G., Orthogonality in linear metric spaces. Duke Math. J.1, 169–172 (1935).
Carmichael, R. D., Systems of linear difference equations and expansions in series of exponential functions. Trans. Amer. Math. Soc.35, 1–28 (1933).
Day, M. M., Some characterizations of inner-product spaces. Trans. Amer. Math. Soc.62, 320–337 (1947).
Ficken, F. A., Note on the existence of scalar products in normed linear spaces. Ann. of Math. (2)45, 362-366 (1944).
Fortet, R., Remarques sur les espaces uniformément convexes. C. R. Acad. Sci. Paris210, 497–499 (1940).
Fortet, R., Remarques sur les espaces uniformément convexes. Bull. Soc. Math. France69, 23–46 (1941).
James, R. C.: Orthogonality in normed linear spaces. Duke Math. J.12, 291–302 (1945).
James, R. C., Orthogonality and linear functionals in normed linear spaces. Trans. Amer. Math. Soc.61, 265–292 (1947).
James, R. C., Inner products in normed linear spaces. Bull. Amer. Math. Soc.53, 559–566 (1947).
Jordan, P., andNeumann, J. von, On inner products in linear metric spaces. Ann. of Math. (2),36, 719–723 (1935).
Kitagawa, T. On the theory of linear translatable functional equations and Cauchy’s series. Jap. J. of Math.13, 233–332 (1936).
Moore, M. G., On expansions in series of exponential functions. Amer. J. Math.62, 83–90 (1940).
Moore, M. G., Fundamental systems of solutions for linear difference equations. Duke Math. J.6, 652–657 (1940).
Rights and permissions
About this article
Cite this article
Carlsson, S.O. Orthogonality in normed linear spaces. Ark. Mat. 4, 297–318 (1962). https://doi.org/10.1007/BF02591506
Issue Date:
DOI: https://doi.org/10.1007/BF02591506