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S. Banach, Théoríe des opérations linéaires, Warsaw, 1932.

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H. Cartan and R. Godement, Théorie de la dualité et analyse harmonique dans les groupes abéliens localement compacts, Ann. Sci. École Norm. Sup. vol. 64 (1947) pp. 79-99. MR 0023241 (9:326d)

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J. Dixmier, Formes linéaires sur un anneau d'opérateurs, Bull. Soc. Math. France vol. 81 (1953) pp. 9-39. MR 0059485 (15:539a)

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P. R. Halmos, Measure theory, New York, D. van Nostrand, 1950. MR 0033869 (11:504d)

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P. Jordan and J. von Neumann, On inner products in linear, metric spaces, Ann. of Math. vol. 36 (1935) pp. 719-723. MR 1503247

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I. Kaplansky, A theorem on rings of operators, Pacific J. Math. vol. 1 (1951) pp. 227-232. MR 0050181 (14:291a)

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L. H. Loomis, An introduction to abstract harmonic analysis, New York, D. van Nostrand, 1953. MR 0054173 (14:883c)

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F. J. Murray and J. von Neumann, On rings of operators. IV, Ann. of Math. vol. 44 (1943) pp. 716-808. MR 0009096 (5:101a)

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I. E. Segal, An extension of Plancherel's formula to separable unimodular groups, Ann. of Math. vol. 52 (1950) pp. 272-292. MR 0036765 (12:157f)

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S. Tannaka, Dualität der nicht-kommutativen Gruppen, Tôhoku Math. J. vol. 53 (1938) pp. 1-12.

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J. von Neumann, Zur Algebra der Funktionaloperationen und Theorie der normalen Operatoren, Math. Ann. vol. 102 (1930) pp. 370-427. MR 1512583

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A. C. Zaanen, Linear analysis, New York, Interscience, 1953.