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k-hyponormality and weighted shifts

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강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2009.09|한국수학논문집 (Korean Journal of Mathematics)|제17권 제3호|pp. 293-298

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참고문헌

키워드

weighted shiftssubnormalk-hyponormal
주제분류수학

초록

In this paper we make a connection between the specific class of weighted shifts and general study of k-hyponormality. We show how the k-hyponormality of an arbitrary operator can be ascertained by examining the k-hyponormality of an associated family of weighted shifts.

Abstract

In this paper we make a connection between the specific class of weighted shifts and general study of k-hyponormality. We show how the k-hyponormality of an arbitrary operator can be ascertained by examining the k-hyponormality of an associated family of weighted shifts.

참고문헌 (16)

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  3. J. Conway, "The Theory of Subnormal Operators", Mathematical Surveys and Monographs, 36 (1991), Amer. Math. Soc
  4. J. B. Conway, "Linear combinations of hyponormal oper-ators", Rocky Mountain J. Math, 18, pp.695~705 (1988)
  5. R. Curto, "Joint hyponormality: A bridge between hyponormality and sub-normality", Proc. Symposia Pure Math, 51, pp.69~91 (1990)
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  7. R. Curto, "An operator-theoretic approach to truncated moment problems, in Linear Operators", Banach Center Publ, 38, pp.75~104 (1997)
  8. R. Curto, "Joint hyponormality of Toeplitz pairs", Mem. Amer. Math. Soc (2001)
  9. R. Curto, "a model theory for 2 -hyponormal oper-ators", Integral Equations Operator Theory, 44, pp.290~315 (2002)
  10. R. Curto, "A new criterion for k-hyponormality via weak subnormality", Proc. Amer. Math. Soc, 133(6), pp.1805~1816 (2005)
  11. R. Curto, "Hyponormal pairs of commuting operators", Operator Theory: Adv. Appl, 35, pp.1~22 (1988)
  12. . G. Douglas, "Operator theory and algebraic geometry", Bull. Amer. Math. Soc. (N.S.), 20, pp.67~71 (1989)
  13. I. B. Jung, "Cubically hyponormal weighted shifts and their examples", J. Math. Anal. Appl, 247, pp.557~569 (2000)
  14. A. Lambert, "Subnormality and weighted shifts", J. London. Math. Soc., 14, pp.476~480 (1976)
  15. S. McCullough, "A note on joint hyponormality", Proc. Amer. Math. Soc., 107, pp.187~195 (1989)
  16. T. Trent, "New conditions for subnormality", Paci¯c J. Math., 93, pp.459~464 (1981)

관련 논문AI추천

Weakly subnormal weighted shifts need not be 2-hyponormal이전익강원경기수학회 · 한국수학논문집2015 · 제23권 제1호Reducing subspaces of weighted shifts with operator weightsCaixing Gu대한수학회 · 대한수학회보2016 · 제53권 제5호On 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 제4호On 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 제3호The Flatness Property of Local-cubically Hyponormal Weighted Shifts백승환, 이미령, Chunji Li, Hyinjin DO경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제2호

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