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Zur Reduktionstheorie in allgemeinen Hilbert-Räumen. (German) Zbl 0199.19404


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[1] Birkhoff, G.: Lattice Theory. Amer. Math. Soc. Colloquium Publication, Vol. 25, New York 1948, Revised Edition. · Zbl 0033.10103
[2] Bourbaki, N.: Topologie générale (Fascicule de Résultats). Paris: Hermann & Cie. 1953.
[3] Godement, R.: Sur la théorie des representations unitaires. Ann. of Math.53, 68-124 (1951). · Zbl 0042.34606 · doi:10.2307/1969343
[4] Halmos, P.: Measure Theory. New York: Van Nostrand Comp. 1950. · Zbl 0040.16802
[5] Halmos, P.: Introduction to the Hilbert-space. New York: Chelsea Publishing Comp. 1951. · Zbl 0045.05702
[6] Loomis, L.: An introduction to abstract harmonic analysis. New York: Van Nostrand Comp. 1953. · Zbl 0052.11701
[7] Nagy, B. v. Sz.: Spektraldarstellung linearer Transformationen des Hilbertschen Raumes. Ergeb. d. Math., Bd. 5, H. 5. Berlin: Springer 1942. · JFM 68.0241.01
[8] Nakano, H.: Modern spectral theory. Tokyo: Maruzen Co. 1950. · Zbl 0041.23402
[9] Neumann, J. v.: Zur Algebra der Funktionaloperationen und Theorie der normalen Operatoren. Math. Annalen102, 370-427 (1930). · JFM 55.0825.02 · doi:10.1007/BF01782352
[10] Neumann, J. v.: On rings of operators. Reduction theory. Ann. of Math.50, 401-485 (1949). · Zbl 0034.06102 · doi:10.2307/1969463
[11] Stone, M. H.: The theory of representations for Boolean algebras. Trans. Amer. Math. Soc.40, 37-111 (1936). · Zbl 0014.34002
[12] Wallman, H.: Lattices and topological spaces. Ann. of Math.39, 112-136 (1938). · JFM 64.0603.01 · doi:10.2307/1968717
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