Spectra of polar factors of hyponormal operators
HTML articles powered by AMS MathViewer
- by C. R. Putnam PDF
- Trans. Amer. Math. Soc. 188 (1974), 419-428 Request permission
Abstract:
An investigation is made of the interdependence and properties of the spectrum of a hyponormal operator T and of the spectra, and absolutely continuous spectra, of the factors in a polar factorization of T when the latter exists.References
- Paul R. Halmos, A Hilbert space problem book, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. MR 0208368
- Philip Hartman, On the essential spectra of symmetric operators in Hilbert space, Amer. J. Math. 75 (1953), 229–240. MR 56841, DOI 10.2307/2372451
- Tosio Kato, Perturbation theory for linear operators, Die Grundlehren der mathematischen Wissenschaften, Band 132, Springer-Verlag New York, Inc., New York, 1966. MR 0203473
- J. von Neumann, Über adjungierte Funktionaloperatoren, Ann. of Math. (2) 33 (1932), no. 2, 294–310 (German). MR 1503053, DOI 10.2307/1968331
- C. R. Putnam, On the spectra of semi-normal operators, Trans. Amer. Math. Soc. 119 (1965), 509–523. MR 185446, DOI 10.1090/S0002-9947-1965-0185446-5
- C. R. Putnam, Commutation properties of Hilbert space operators and related topics, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 36, Springer-Verlag New York, Inc., New York, 1967. MR 0217618, DOI 10.1007/978-3-642-85938-0
- C. R. Putnam, The spectra of operators having resolvents of first-order growth, Trans. Amer. Math. Soc. 133 (1968), 505–510. MR 229073, DOI 10.1090/S0002-9947-1968-0229073-2
- C. R. Putnam, An inequality for the area of hyponormal spectra, Math. Z. 116 (1970), 323–330. MR 270193, DOI 10.1007/BF01111839
- C. R. Putnam, A similarity between hyponormal and normal spectra, Illinois J. Math. 16 (1972), 695–702. MR 326462, DOI 10.1215/ijm/1256065553
- Frigyes Riesz and Béla Sz.-Nagy, Functional analysis, Frederick Ungar Publishing Co., New York, 1955. Translated by Leo F. Boron. MR 0071727
- J. G. Stampfli, Hyponormal operators and spectral density, Trans. Amer. Math. Soc. 117 (1965), 469–476. MR 173161, DOI 10.1090/S0002-9947-1965-0173161-3
- Aurel Wintner, On Non-Singular Bounded Matrices, Amer. J. Math. 54 (1932), no. 1, 145–149. MR 1507925, DOI 10.2307/2371085
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 188 (1974), 419-428
- MSC: Primary 47B20
- DOI: https://doi.org/10.1090/S0002-9947-1974-0343088-8
- MathSciNet review: 0343088