Integration theorems for gages and duality for unimodular groups
HTML articles powered by AMS MathViewer
- by W. Forrest Stinespring
- Trans. Amer. Math. Soc. 90 (1959), 15-56
- DOI: https://doi.org/10.1090/S0002-9947-1959-0102761-9
- PDF | Request permission
References
- S. Banach, Théoríe des opérations linéaires, Warsaw, 1932.
- Henri Cartan and Roger Godement, Théorie de la dualité et analyse harmonique dans les groupes abéliens localement compacts, Ann. Sci. École Norm. Sup. (3) 64 (1947), 79–99 (French). MR 0023241
- J. Dixmier, Formes linéaires sur un anneau d’opérateurs, Bull. Soc. Math. France 81 (1953), 9–39 (French). MR 59485
- Paul R. Halmos, Measure Theory, D. Van Nostrand Co., Inc., New York, N. Y., 1950. MR 0033869
- P. Jordan and J. Von Neumann, On inner products in linear, metric spaces, Ann. of Math. (2) 36 (1935), no. 3, 719–723. MR 1503247, DOI 10.2307/1968653
- Irving Kaplansky, A theorem on rings of operators, Pacific J. Math. 1 (1951), 227–232. MR 50181
- Lynn H. Loomis, An introduction to abstract harmonic analysis, D. Van Nostrand Co., Inc., Toronto-New York-London, 1953. MR 0054173
- F. J. Murray and J. von Neumann, On rings of operators. IV, Ann. of Math. (2) 44 (1943), 716–808. MR 9096, DOI 10.2307/1969107
- I. E. Segal, An extension of Plancherel’s formula to separable unimodular groups, Ann. of Math. (2) 52 (1950), 272–292. MR 36765, DOI 10.2307/1969470
- I. E. Segal, A non-commutative extension of abstract integration, Ann. of Math. (2) 57 (1953), 401–457. MR 54864, DOI 10.2307/1969729
- I. E. Segal, Abstract probability spaces and a theorem of Kolmogoroff, Amer. J. Math. 76 (1954), 721–732. MR 63602, DOI 10.2307/2372714 S. Tannaka, Dualität der nicht-kommutativen Gruppen, Tôhoku Math. J. vol. 53 (1938) pp. 1-12.
- J. v. Neumann, Zur Algebra der Funktionaloperationen und Theorie der normalen Operatoren, Math. Ann. 102 (1930), no. 1, 370–427 (German). MR 1512583, DOI 10.1007/BF01782352 A. C. Zaanen, Linear analysis, New York, Interscience, 1953.
Bibliographic Information
- © Copyright 1959 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 90 (1959), 15-56
- MSC: Primary 46.00
- DOI: https://doi.org/10.1090/S0002-9947-1959-0102761-9
- MathSciNet review: 0102761