본문 바로가기
KERD
논문KCI 등재

THE PROPAGATION PHENOMENON OF WEIGHTED SHIFTS

권은영|김안현
대한수학회 (The Korean Mathematical Society)|2010.01|대한수학회보 (Bulletin of the KMS)|제47권 제1호|pp. 179-186

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

weighted shiftssubnormalquadratically hyponormalk-hyponormalcubically hyponormal
주제분류수학

초록

This paper concerns the propagation phenomenon of weighted shifts. We here establish the existence of positive real numbers b and c (1<b<c) such that the recursive weighted shift W1,(1,√b,√c)^ is quadratically but not cubically hyponormal.

Abstract

This paper concerns the propagation phenomenon of weighted shifts. We here establish the existence of positive real numbers b and c (1<b<c) such that the recursive weighted shift W1,(1,√b,√c)^ is quadratically but not cubically hyponormal.

참고문헌 (15)

  1. A. Athavale, "On joint hyponormality of operators", Proc. Amer. Math. Soc., 103(2), pp.417~423 (1988)
  2. Y. B. Choi, "A propagation of quadratically hyponormal weighted shifts", Bull. Korean Math. Soc., 37(2), pp.347~352 (2000)
  3. Y. B. Choi, "One-step extension of the Bergman shift", Proc. Amer. Math. Soc., 128(12), pp.3639~3646 (2000)
  4. J. B. Conway, "The Theory of Subnormal Operators" (1991), Amer. Math. Soc.
  5. J. B. Conway, "Linear combinations of hyponormal operators", Rocky Mountain J. Math., 18(3), pp.695~705 (1988)
  6. R. E. Curto, "Quadratically hyponormal weighted shifts", Integral Equations Operator Theory, 13(1), pp.49~66 (1990)
  7. R. E. Curto, "An operator-theoretic approach to truncated moment problems. in: Linear operators", pp.75~104 (1997), Polish Acad. Sci.
  8. R. E. Curto, "Recursively generated weighted shifts and the subnormal completion problem. Ⅱ", Integral Equations Operator Theory, 18(4), pp.369~426 (1994)
  9. R. E. Curto, "Quadratically hyponormal weighted shifts with two equal weights", Integral Equations Operator Theory, 37(2), pp.208~231 (2000)
  10. R. E. Curto, "Joint hyponormality of Toeplitz pairs", Mem. Amer. Math. Soc., 150(712), pp.x+65~ (2001)
  11. R. E. Curto, "Hyponormal pairs of commuting operators. in: Contributions to operator theory and its applications", pp.1~22 (1988), Birkhauser
  12. P. Fan, "A note on hyponormal weighted shifts", Proc. Amer. Math. Soc., 92(2), pp.271~272 (1984)
  13. A. Joshi, "Hyponormal polynomials of monotone shifts", Indian J. Pure Appl. Math., 6(6), pp.681~686 (1975)
  14. I. B. Jung, "Quadratically hyponormal weighted shifts and their examples", Integral Equations Operator Theory, 36(4), pp.480~498 (2000)
  15. J. Stampfli, "Which weighted shifts are subnormal?", Pacific J. Math., 17, pp.367~379 (1966)

관련 논문AI추천

On Semi-cubically Hyponormal Weighted Shifts with First Two Equal Weights백승환, 정일봉, George R. Exner, Young Soo Jo, and Il Bong Jung경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호On the Flatness of Semi-Cubically Hyponormal Weighted Shifts안지혜, 이춘길경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제4호A note on cubically hyponormal weighted shifts이미령, Chunji Li, Muneo Cho대한수학회 · 대한수학회보2014 · 제51권 제4호k-hyponormality and weighted shifts이전익강원경기수학회 · 한국수학논문집2009 · 제17권 제3호Multivariable Recursively Generated Weighted Shifts and the 2-variable Subnormal Completion ProblemEl Hassan Zerouali, Kaissar Idrissi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제4호Backward extensions of Bergman-type weighted shiftChunji Li, Haiwen Wang, Wentao Qi대한수학회 · 대한수학회보2020 · 제57권 제1호

이 간행물의 다른 논문 (19건)

CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE A IN A COMPLEX SPACE FORM임동호, 기우항, 김인배pp. 1-15A CLASSIFICATION OF PRIME-VALENT REGULAR CAYLEY MAPS ON ABELIAN, DIHEDRAL AND DICYCLIC GROUPS이재운, 권영수, 김동석pp. 17-27SELF-SIMILAR SOLUTIONS FOR THE 2-D BURGERS SYSTEM IN INFINITE SUBSONIC CHANNELS송경우pp. 29-37THE UNIFORM CLT FOR MARTINGALE DIFFERENCE ARRAYS UNDER THE UNIFORMLY INTEGRABLE ENTROPY전두배, 배종식, Shlomo Leventalpp. 39-51THE REFLECTIVE FUNCTION REPRESENTED BY THREE EXPONENTIAL MATRIXESZhengxin Zhoupp. 53-61
원문 보기