On the spectra of semi-normal operators
HTML articles powered by AMS MathViewer
- by C. R. Putnam PDF
- Trans. Amer. Math. Soc. 119 (1965), 509-523 Request permission
References
- Sterling K. Berberian, Introduction to Hilbert space, University Texts in the Mathematical Sciences, Oxford University Press, New York, 1961. MR 0137976 P. R. Halmos, Introduction to Hilbert space, Chelsea, New York, 1951.
- Philip Hartman and Aurel Wintner, The spectra of Toeplitz’s matrices, Amer. J. Math. 76 (1954), 867–882. MR 73859, DOI 10.2307/2372661
- W. Koppelman and J. D. Pincus, Spectral representations for finite Hilbert transformations, Math. Z. 71 (1959), 399–407. MR 107144, DOI 10.1007/BF01181411
- 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
- C. R. Putnam, On semi-normal operators, Pacific J. Math. 7 (1957), 1649–1652. MR 93710
- C. R. Putnam, Commutators and absolutely continuous operators, Trans. Amer. Math. Soc. 87 (1958), 513–525. MR 100226, DOI 10.1090/S0002-9947-1958-0100226-0
- C. R. Putnam, On Toeplitz matrices, absolute continuity, and unitary equivalence, Pacific J. Math. 9 (1959), 837–846. MR 109297
- C. R. Putnam, Commutators, absolutely continuous spectra, and singular integral operators, Amer. J. Math. 86 (1964), 310–316. MR 164253, DOI 10.2307/2373166
- Frigyes Riesz and Béla Sz.-Nagy, Functional analysis, Frederick Ungar Publishing Co., New York, 1955. Translated by Leo F. Boron. MR 0071727
- Joseph G. Stampfli, Hyponormal operators, Pacific J. Math. 12 (1962), 1453–1458. MR 149282
- Marshall Harvey Stone, Linear transformations in Hilbert space, American Mathematical Society Colloquium Publications, vol. 15, American Mathematical Society, Providence, RI, 1990. Reprint of the 1932 original. MR 1451877, DOI 10.1090/coll/015
- Aurel Wintner, Zur Theorie der beschränkten Bilinearformen, Math. Z. 30 (1929), no. 1, 228–281 (German). MR 1545057, DOI 10.1007/BF01187766
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 119 (1965), 509-523
- MSC: Primary 47.10; Secondary 47.40
- DOI: https://doi.org/10.1090/S0002-9947-1965-0185446-5
- MathSciNet review: 0185446