Literatur
Bonsall, F.F., Duncan, J.: Numerical ranges of operators on normed spaces and of elements of normed algebras. Cambridge: Cambridge University Press 1971
Bonsall, F.F., Duncan, J.: Complete normed algebras. Berlin, Heidelberg, New York: Springer 1973
Braun, H., Koecher, M.: Jordan-Algebren. Berlin, Heidelberg, New York: Springer 1966
Cartan, É.: Sur les domaines bornés homogènes de l'espace de n variables complexes. Abh. Math. Sem. Univ. Hamburg11, 116–162 (1935)
de la Harpe, P.: Classical Banach-Lie algebras and Banach-Lie groups of operators in Hilbert space. In: Lecture Notes in Mathematics, Vol. 285, Berlin, Heidelberg, New York: Springer 1970
Harris, L.: Analytic invariants and the Schwarz-Pick inequality. Israel J. Math.34, 177–197 (1979)
Harris, L.: A generalization ofC *-algebras. Erscheint in: Proc. Lond. Math. Soc.
Helgason, S.: Differential geometry and symmetric spaces. London, New York: Academic Press 1962
Jacobson, N.: Structure and representations of Jordan algebras. Am. Math. Soc. Colloq. Publ. 39. Providence 1968
Kaup, W.: Algebraic characterization of symmetric complex manifolds. Math. Ann.228, 39–64 (1977)
Kaup, W.: Jordan algebras and holomorphy. In: Functional analysis, holomorphy and approximation theory. In: Lecture Notes in Mathematics, Vol. 843, pp. 341–365. Berlin, Heidelberg, New York: Springer 1981
Kaup, W., Upmeier, H.: Jordan algebras and symmetric Siegel domains in Banach spaces. Math. Z.157, 179–200 (1977)
Koecher, M.: An elementary approach to bounded symmetric domains. Lecture Notes. Houston: Rice University 1969
Korányi, A.: Analytic invariants of bounded symmetric domains. Proc. AMS19, 279–284 (1968)
Loos, O.: Jordan Pairs. Lecture Notes in Mathematics, Vol. 460. Berlin, Heidelberg, New York: Springer 1975
Loos, O.: Bounded symmetric domains and Jordan pairs. Lecture Notes. University of California at Irvine 1977
Meyberg, K.: Jordan-Tripelsysteme und die Koecher-Konstruktion von Lie-Algebren. Math. Z.115, 58–78 (1970)
Pjateckii-Sapiro, I.I.: Automorphic functions and the geometry of classical domains. New York, London, Paris: Gordon and Breach 1969
Schatten, R.: Norm ideals of completely continuous operators. Berlin, Göttingen, Heidelberg: Springer 1960
Størmer, W.: Jordan algebras of type I. Acta Math.115, 165–184 (1966)
Vigué, J.-P.: Le groupe des automorphismes analytiques d'un domaine borné d'un espace de Banach complexe. Ann. Sci. Ecole norm. sup. IV. Sér.9, 203–282 (1976)
Wong, P.: The dualp-class in a dualB *-algebra. Trans. Am. Math. Soc.200, 355–368 (1974)
Wright, J.D.M., Youngson, M.A.: A Russo dye theorem for JordanC *-algebras. Proceedings of: A Conference in Functional Analysis (Paderborn 1977). Amsterdam, London: North-Holland
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Kaup, W. Über die Klassifikation der symmetrischen hermiteschen Mannigfaltigkeiten unendlicher Dimension. I. Math. Ann. 257, 463–486 (1981). https://doi.org/10.1007/BF01465868
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DOI: https://doi.org/10.1007/BF01465868