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The role of zero sets in the spectra of hyponormal operators


Author: C. R. Putnam
Journal: Proc. Amer. Math. Soc. 43 (1974), 137-140
MSC: Primary 47B20
DOI: https://doi.org/10.1090/S0002-9939-1974-0333808-6
MathSciNet review: 0333808
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Abstract: A compact set in the complex plane is the spectrum of a completely hyponormal operator if and only if the set has positive density.


References [Enhancements On Off] (What's this?)

  • [1] K. F. Clancey and C. R. Putnam, The local spectral behavior of completely subnormal operators, Trans. Amer. Math. Soc. 163 (1972), 239-244. MR 45 #934. MR 0291844 (45:934)
  • [2] -, The spectra of hyponormal integral operators, Comm. Math. Helv. 46 (1971), 451-456. MR 0301573 (46:731)
  • [3] R. Darst and C. Goffman, A Borel set which contains no rectangles, Amer. Math. Monthly 77 (1970), 728-729. MR 41 #8615. MR 0264016 (41:8615)
  • [4] R. O. Davies, On accessibility of plane sets and differentiation of functions of two real variables, Proc. Cambridge Philos. Soc. 48 (1952), Part 2, 215-232. MR 13, 635. MR 0045795 (13:635d)
  • [5] C. R. Putnam, An inequality for the area of hyponormal spectra, Math. Z. 28 (1971), 473-477. MR 0270193 (42:5085)
  • [6] -, The spectra of completely hyponormal operators, Amer. J. Math. 93 (1971), 699-708. MR 43 #6757. MR 0281038 (43:6757)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1974-0333808-6
Keywords: Hyponormal operator, subnormal operator, spectrum
Article copyright: © Copyright 1974 American Mathematical Society

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