Literatur
Jordan, P., andJ. v.Neumann: On inner products in linear metric spaces. Ann. of Math.36, 719–723 (1935).
Lorch, E. R.: On certain implications which characterize Hilbert space. Ann. of Math.49, 523–532 (1948).
James, R. C.: Inner products in normed linear spaces. Bull. Amer. Math. Soc.53, 559–566 (1947).
Day, M. M.: Some characterizations of inner-product spaces. Trans. Amer. Math. Soc.62, 320–337 (1947).
Radon, J.: Über eine besondere Art ebener konvexer Kurven. Leipziger Ber.68, 123–128 (1916).
Lorch, E. R.: The Cauchy-Schwarz inequality and self-adjoint spaces. Ann. of Math.46 468–473 (1945).
Bourbaki, N.: Espaces vectoriels topologiques (livre V). Paris: Hermann 1953 u. 1955.
Lorch, E. R.: Convexity and normed spaces. Acad. Serb. Sci. Publ. Inst. Math.4, 109–112 (1952).
Banach, S.: Théorie des opérations linéaires. Warschau 1932.
Neumann, J. v.: Almost periodic functions in a group I. Trans. Amer. Math. Soc.36, 445–492 (1934).
Schmeidler, W.: Vorträge über Determinanten und Matrizen. Berlin: Akad. Verl. 1949.
Schreier, O., u.E. Sperner: Einführung in die analytische Geometrie und Algebra, Bd. II. Leipzig: B. G. Teubner 1935.
Koksma, J. F.: Diophantische Approximationen. Erg. Math. 4. Berlin: Springer 1936.
Alexandroff, P., u.H. Hopf: Topologie. Berlin: Springer 1935.
Bourbaki, N.: Topologie générale (livre III). Paris: Hermann 1940–1949.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Leichtweiss, K. Selbstadjungierte Banach-Räume. Math Z 71, 335–360 (1959). https://doi.org/10.1007/BF01181408
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01181408