Commutators and absolutely continuous operators
HTML articles powered by AMS MathViewer
- by C. R. Putnam PDF
- Trans. Amer. Math. Soc. 87 (1958), 513-525 Request permission
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
- Philip Hartman and Aurel Wintner, On the spectra of Toeplitz’s matrices, Amer. J. Math. 72 (1950), 359–366. MR 36936, DOI 10.2307/2372039 —, The spectra of Toeplitz’s matrices, ibid. vol. 76 (1954) pp. 867-882.
- 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
- C. R. Putnam, On commutators and Jacobi matrices, Proc. Amer. Math. Soc. 7 (1956), 1026–1030. MR 82082, DOI 10.1090/S0002-9939-1956-0082082-6 M. Rosenblum, Perturbation of the continuous spectrum and unitary equivalence, Technical Report No. 12, Office of Ordnance Research, Department of Mathematics, University of California, December, 1955.
- Otto Toeplitz, Zur Theorie der quadratischen und bilinearen Formen von unendlichvielen Veränderlichen, Math. Ann. 70 (1911), no. 3, 351–376 (German). MR 1511625, DOI 10.1007/BF01564502 D. Hilbert, Grundzüge einer allgemeinen theorie der linearen Integralgleichungen, Leipzig, 1912. Mathematical Monographs, Northwestern University, vol. 1, 1941.
Additional Information
- © Copyright 1958 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 87 (1958), 513-525
- MSC: Primary 46.00
- DOI: https://doi.org/10.1090/S0002-9947-1958-0100226-0
- MathSciNet review: 0100226