On commutators and Jacobi matrices

On commutators and Jacobi matrices
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by C. R. Putnam

Proc. Amer. Math. Soc. 7 (1956), 1026-1030

DOI: https://doi.org/10.1090/S0002-9939-1956-0082082-6

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References

Bent Fuglede, A commutativity theorem for normal operators, Proc. Nat. Acad. Sci. U.S.A. 36 (1950), 35–40. MR 32944, DOI 10.1073/pnas.36.1.35
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
C. R. Putnam, On commutators of bounded matrices, Amer. J. Math. 73 (1951), 127–131. MR 41357, DOI 10.2307/2372165
C. R. Putnam, On normal operators in Hilbert space, Amer. J. Math. 73 (1951), 357–362. MR 40585, DOI 10.2307/2372180
F. Rellich, Der Eindeutigkeitssatz für die Lösungen der quantenmechanischen Vertauschungsrelationen, Nachr. Akad. Wiss. Göttingen. Math.-Phys. Kl. Math.-Phys.-Chem. Abt. 1946 (1946), 107–115 (German). MR 22310
Helmut Wielandt, Über die Unbeschränktheit der Operatoren der Quantenmechanik, Math. Ann. 121 (1949), 21 (German). MR 30701, DOI 10.1007/BF01329611

Spektraltheorie der unendlichen Matrizen

Aurel Wintner, The unboundedness of quantum-mechanical matrices, Phys. Rev. (2) 71 (1947), 738–739. MR 20724