×

zbMATH — the first resource for mathematics

Die Struktur endlicher schwach abgeschlossener Jordanalgebren. I: Stetige Jordanalgebren. (German) Zbl 0318.17013

MSC:
17C99 Jordan algebras (algebras, triples and pairs)
17C10 Structure theory for Jordan algebras
46L99 Selfadjoint operator algebras (\(C^*\)-algebras, von Neumann (\(W^*\)-) algebras, etc.)
PDF BibTeX XML Cite
Full Text: DOI EuDML
References:
[1] Albert, A.A. und Paige, L.J.: On a Homomorphism Property of Certain Jordan Algebras. Trans. Amer. Math. Soc.93, 20-29 (1959). · Zbl 0089.02001
[2] Braun, H. und Koecher, M.: Jordan-Algebren. Berlin-Heidelberg-New York: Springer 1966.
[3] Dixmier, J.: Les algèbres d’opérateurs dans l’espace Hilbertien. 2-ième ed. Paris: Gauthier-Villars 1969.
[4] Jacobson, N.: Structure and Representations of Jordan Algebras. AMS Coll. Publ.39, Providence 1968. · Zbl 0218.17010
[5] Janssen, G.: Formal-reelle Jordanalgebren unendlicher Dimension und verallgemeinerte Positivitätsbereiche. J. für reine u. angew. Math.249, 173-200 (1971). · Zbl 0219.17009
[6] ?: Reelle Jordanalgebren mit endlicher Spur. Manuscripta Math.13, 237-273 (1974). · Zbl 0291.17011
[7] Kaplansky, I.: A Theorem on Rings of Operators. Pacific J. Math.1, 227-232 (1951). · Zbl 0043.11502
[8] Riesz, F. und Sz.-Nagy, B.: Vorlesungen über Funktionalanalysis. Berlin: Deutscher Verlag der Wissenschaften 1956. · Zbl 0072.11902
[9] Sakai, S.: C*-Algebras and W*-Algebras. Erg. der Math.60, Berlin-Heidelberg-New York: Springer 1971.
[10] Topping, D.M.: Jordan Algebras of Selfadjoint Operators. Mem. AMS53, Providence 1965. · Zbl 0149.09801
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.