대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제29권2호
  • /
  • Pages.257-262
  • /
  • 2014
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

GENERALIZED RIESZ POINTS FOR PERTURBATIONS OF TOEPLITZ OPERATORS

  • Kim, An Hyun (Department of Mathematics Changwon National University)
  • 투고 : 2013.04.02
  • 발행 : 2014.04.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this note we consider "generalized Riesz points" for compact and quasinilpotent perturbations of Toeplitz operators acting on the Hardy space of the unit circle.

키워드

과제정보

연구 과제 주관 기관 : National Research Foundation of Korea(NRF)

참고문헌

  1. B. Aupetit, A Primer on Spectral Theory, Springer, New York, 1991.
  2. A. Brown and P. R. Halmos, Algebraic properties of Toeplitz operators, J. Reine Angew. Math. 213 (1963-64), 89-102.
  3. L. A. Coburn, Weyl's theorem for nonnormal operators, Michigan Math. J. 13 (1966), 285-288. https://doi.org/10.1307/mmj/1031732778
  4. R. G. Douglas, Banach Algebra Techniques in Operator Theory, Academic Press, New York, 1972.
  5. R. E. Harte, Fredholm, Weyl and Browder theory, Proc. Roy. Irish Acad. Sect. A 85 (1985), no. 2, 151-176.
  6. R. E. Harte, Invertibility and Singularity for Bounded Linear Operators, Dekker, New York, 1988.
  7. R. E. Harte and W. Y. Lee, Another note on Weyl's theorem, Trans. Amer. Math. Soc. 349 (1997), no. 5, 2115-2124. https://doi.org/10.1090/S0002-9947-97-01881-3
  8. R. E. Harte, W. Y. Lee, and L. L. Littlejohn, On generalized Riesz points, J. Operator Theory 42 (2002), no. 1, 187-196.