본문 바로가기
KERD
논문KCI 등재

A note on hyponormal Toeplitz operators

김안현
대한수학회 (The Korean Mathematical Society)|2011.05|대한수학회보 (Bulletin of the KMS)|제48권 제3호|pp. 647-653

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

Toeplitz operatorshyponormal
주제분류수학

초록

In this note we are concerned with the hyponormality of Toeplitz operators T_Φ with polynomial symbols Φ=[기호]+f (f,g∈ H^∞(T)) when g divides f.

Abstract

In this note we are concerned with the hyponormality of Toeplitz operators T_Φ with polynomial symbols Φ=[기호]+f (f,g∈ H^∞(T)) when g divides f.

참고문헌 (17)

  1. C. Cowen, "Hyponormal and subnormal Toeplitz operators", Surveys of some recent results in operator theory, 1, pp.155~167 (1988), Pitman Res. Notes Math. Ser
  2. C. Cowen, "Hyponormality of Toeplitz operators", Proc. Amer. Math. Soc, 103(3), pp.809~812 (1988)
  3. R. E. Curto, "Joint hyponormality of Toeplitz pairs", Mem. Amer. Math. Soc, 150(712) (2001)
  4. P. Fan, "Remarks on hyponormal trigonometric Toeplitz operators", Rocky Mountain J. Math, 13(3), pp.489~493 (1983)
  5. D. R. Farenick, "Hyponormality and spectra of Toeplitz operators", Trans. Amer. Math. Soc, 348(10), pp.4153~4174 (1996)
  6. D. R. Farenick, "On hyponormal Toeplitz operators with polynomial and circulant-type symbols", Integral Equations Operator Theory, 29(2), pp.202~210 (1997)
  7. J. Garnett, "Bounded Analytic Functions" (1981), Academic Press
  8. C. Gu, "A generalization of Cowen's characterization of hyponormal Toeplitz operators", J. Funct. Anal, 124(1), pp.135~148 (1994)
  9. T. Ito, "Subnormality and quasinormality of Toeplitz operators", Proc. Amer. Math. Soc, pp.157~164 (1972)
  10. 김인현, "On hyponormal Toeplitz operators with polynomial and symmetric-type symbols", INTEGRAL EQUATIONS AND OPERATOR THEORY, 32(2), pp.216~233
  11. 김인현, "Hyponormality of Toeplitz operators with polynomial symbols", MATHEMATISCHE ANNALEN, 313(2), pp.247~261
  12. 김인현, "Hyponormality of Toeplitz operators with polynomial symbols: An extremal case", MATHEMATISCHE NACHRICHTEN, 231, pp.25~38 (2001), WILEY-V C H VERLAG GMBH
  13. I. S. Hwang, "Hyponormality of trigonometric Toeplitz operators", Trans. Amer. Math. Soc, 354(6), pp.2161~2474 (2002)
  14. I. S. Hwang, "Hyponormality of Toeplitz operators with rational symbols", Math. Ann, 335(2), pp.405~414 (2006)
  15. T. Nakazi, "Hyponormal Toeplitz operators and extremal problems of Hardy spaces", Trans. Amer. Math. Soc, 338(2), pp.753~767 (1993)
  16. I. Schur, "Uber Potenzreihen die im Innern des Einheitskreises beschrankt sind", J. Reine Angew. Math, 147, pp.205~232 (1917)
  17. K. Zhu, "Hyponormal Toeplitz operators with polynomial symbols", Integral Equations Operator Theory, 21(3), pp.376~381 (1995)

관련 논문AI추천

Hyponormality of Toeplitz operators and the Cowen’s set김안현, Eun Young Kwon영남수학회 · East Asian Mathematical Journal2025 · 제41권 제1호On hyponormality of Toeplitz operators with polynomial and symmetric type symbolsAmbeswar Phukon, Munmun Hazarika대한수학회 · 대한수학회보2011 · 제48권 제3호The Hyponormal Toeplitz operators on the vector valued Bergman spacePuyu Cui, Yanyue Shi, Yufeng Lu대한수학회 · 대한수학회보2014 · 제51권 제1호A sufficient condition for hyponormal Toeplitz operators on the Bergman space김수민, 이종락대한수학회 · 대한수학회보2024 · 제61권 제4호Hyponormality of Toeplitz operators on the Bergman space황인성대한수학회 · 대한수학회지2008 · 제45권 제4호On $2$--hyponormal Toeplitz operators with finite rank self--commutators김안현대한수학회 · 대한수학회논문집2016 · 제31권 제3호

이 간행물의 다른 논문 (17건)

A differential equation for multiple Bessel polynomials with raising and lowering operators이동원, 백진옥pp. 445-454Refinement rings, exchange property and comparabilityChaoling Huangpp. 455-468On the character rings of twist knotsFumikazu Nagasatopp. 469-474Generalized analytic Feynman integral via function space integral of bounded cylinder functionals장승준, 정현수, 최재길pp. 475-489Fuzzy stability of a cubic-quartic functional equation: a fixed point approach장선영, 박춘길, 신동윤pp. 491-503
원문 보기