Literatur
Bade, W. G.: On Boolean algebras of projections and algebras of operators. Trans. Amer. Math. Soc.80, 345–360 (1955).
Bourbaki, N.: Integration, chap. I–V. Paris 1953 und 1957.
Dixmier, J.: Les algebres d'operateurs dans l'espace hilbertien. Paris 1957.
Godement, R.: Sur la theorie des representations unitaires. Ann. of Math.53, 68–124 (1951).
Halmos, P.: Measure theory. New York 1950
Halmos, P.: Introduction to Hilbert space and the theory of spectral multiplicity. New York 1951.
Loomis, L. H.: An introduction to abstract harmonic analysis. New York 1953.
Neumann, J. v.: On rings of operators. Reduction theory. Ann. of Math.50, 401–485 (1949).
Naimark, M. A., u.C. W. Fomin: Neprerywnye prjamye summy hilbertowych prostranstw i nekotorye ich premenija. Uspechi Mat. Nauk10, 111–142 (1955).
Segal, I. E.: Decompositions of operator algebras I, II. Mem. Amer. Math. Soc.9, New York 1951.
Thoma, E.: Zur Reduktionstheorie in separablen Hilbert-Räumen. Math. Z.67, 1–9 (1957).
Thoma, E.: Zur Reduktionstheorie in allgemeinen Hilbert-Räumen. Math. Z.68, 153–188 (1957).
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Leptin, H. Zur Reduktionstheorie Hilbertscher Räume. Math Z 69, 40–58 (1958). https://doi.org/10.1007/BF01187392
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DOI: https://doi.org/10.1007/BF01187392