Structure theorem for commutators of operators
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- by Arlen Brown and Carl Pearcy PDF
- Bull. Amer. Math. Soc. 70 (1964), 779-780
References
- Arlen Brown, P. R. Halmos, and Carl Pearcy, Commutators of operators on Hilbert space, Canadian J. Math. 17 (1965), 695–708. MR 203460, DOI 10.4153/CJM-1965-070-7
- Arlen Brown and Carl Pearcy, Structure of commutators of operators, Ann. of Math. (2) 82 (1965), 112–127. MR 178354, DOI 10.2307/1970564
- Paul R. Halmos, Commutators of operators, Amer. J. Math. 74 (1952), 237–240. MR 45310, DOI 10.2307/2372081
- Paul R. Halmos, Commutators of operators. II, Amer. J. Math. 76 (1954), 191–198. MR 59484, DOI 10.2307/2372409
- P. R. Halmos, A glimpse into Hilbert space, Lectures on Modern Mathematics, Vol. I, Wiley, New York, 1963, pp. 1–22. MR 0178330
- Carl Pearcy, On commutators of operators on Hilbert space, Proc. Amer. Math. Soc. 16 (1965), 53–59. MR 170213, DOI 10.1090/S0002-9939-1965-0170213-4
- Helmut Wielandt, Über die Unbeschränktheit der Operatoren der Quantenmechanik, Math. Ann. 121 (1949), 21 (German). MR 30701, DOI 10.1007/BF01329611
- Aurel Wintner, The unboundedness of quantum-mechanical matrices, Phys. Rev. (2) 71 (1947), 738–739. MR 20724, DOI 10.1103/PhysRev.71.738.2
Additional Information
- Journal: Bull. Amer. Math. Soc. 70 (1964), 779-780
- DOI: https://doi.org/10.1090/S0002-9904-1964-11236-2
- MathSciNet review: 0167847