DOI QR코드

DOI QR Code

M-ISOMETRIC WEIGHTED SHIFTS

  • Lee, Jun Ik (Department of Mathematics Education Sangmyung University)
  • 투고 : 2013.12.11
  • 심사 : 2014.01.16
  • 발행 : 2014.02.15

초록

In this paper, we characterize the m-isometric weighted shifts, using this characterization, we study the relations between the hyponormality and the m-isometricity of operators.

키워드

참고문헌

  1. J. Agler and M. Stankus, m-Isometric transformation of Hilbert space, I, Integral Equations Operator Theory 21 (1995), 383-429. https://doi.org/10.1007/BF01222016
  2. J. Agler and M. Stankus, m-Isometric transformation of Hilbert space, II, Integral Equations Operator Theory 23 (1995), 1-48. https://doi.org/10.1007/BF01261201
  3. J. Agler and M. Stankus, m-Isometric transformation of Hilbert space, III, Integral Equations Operator Theory 24 (1996), 379-421. https://doi.org/10.1007/BF01191619
  4. Y. B. Choi, A propagation of quadratically hyponormal weighted shifts, Bull. Korean Math. Soc. 37 (2000), no. 2, 347-352.
  5. R. E. Curto, Quadratically hyponormal weighted shifts, Integral Equations Operator Theory, 13 (1990), 49-66. https://doi.org/10.1007/BF01195292
  6. P. Fan, A note on hyponormal weighted shifts. Proc. Amer. Math. Soc. 92 (1984), 271-272. https://doi.org/10.1090/S0002-9939-1984-0754718-2
  7. A. D. Joshi, An example of a monotone shift which is not quadratically hyponormal. Math. Student 51 (1983), 193-194.
  8. J. Stampfli, Which weighted shifts are subnormal?, Pacific J. Math. 17 (1966), 367-379. https://doi.org/10.2140/pjm.1966.17.367