Pacific Journal of Mathematics

Commuting hyponormal operators.

James Guyker

Article information

Source
Pacific J. Math., Volume 91, Number 2 (1980), 307-325.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102778725

Mathematical Reviews number (MathSciNet)
MR615680

Zentralblatt MATH identifier
0472.47018

Subjects
Primary: 47B20: Subnormal operators, hyponormal operators, etc.
Secondary: 47A56: Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones)

Citation

Guyker, James. Commuting hyponormal operators. Pacific J. Math. 91 (1980), no. 2, 307--325. https://projecteuclid.org/euclid.pjm/1102778725


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References

  • [1] L. de Branges, Factorization and invariant subspaces, J. Math. Anal. Appl., 29 (1970), 163-200.
  • [2] L. de Branges and J. Rovnyak, Canonical models in quantum scattering theory, Perturbation Theory and its Applications in Quantum Mechanics, pp. 295-391, Wiley, New York, 1966.
  • [3] L. de Branges and J. Rovnyak, Square Summable Power Series, Holt, Rinehart, and Winston, New York, 1966.
  • [4] B. Fuglede, A commutativity theorem for normal operators, Proc N. A. S , 36 (1950), 35-40.
  • [5] J. Guyker, A structure theorem for operators with closed range, Bull. Austral. Math. Soc, 18 (1978), 169-186.
  • [6] J. Guyker, On partial isometries with no isometric part, Pacific J. Math., 62 (1976), 419-433.
  • [7] J. Guyker,Reducing subspaces of contractions with no isometric part, Proc Amer. Math. Soc, 45 (1974), 411-413.
  • [8] C R. Putnam, An inequality for the area of hyponormal spectra, Math. Z , 116 (1970), 323-330.
  • [9] D. Sarason, Generalized interpolation in Hy Trans. Amer. Math. Soc, 127 (1967), 179-203.
  • [10] M. J. Sherman, A spectral theory for inner functions, Trans. Amer. Math. Soc, 135 (1969), 387-398.
  • [11] B. Sz.-Nagy and C. Foias, Dilatation des commutants d'operateurs, C. R. Acad. Sci. Paris, 266 (1968), 493-495.