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Semi-cubically hyponormal weighted shifts with Stampfli's subnormal completion

Mi Ryeong Lee|백승환
대한수학회 (The Korean Mathematical Society)|2019.04|대한수학회논문집 (Communications of the KMS)|제34권 제2호|pp. 477-486|DOI 10.4134/CKMS.c180110

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키워드

weighted shiftshyponormalitysemi-cubic hyponormality
주제분류수학

초록

Let $\alpha :1,(1,\sqrt{x},\sqrt{y})^{\wedge }$ be a weight sequence with Stampfli's subnormal completion and let $W_{\alpha }$ be its associated weighted shift. In this paper we discuss some properties of the region $\mathcal{U}:\mathcal{=}\{(x,y):W_{\alpha }$ is semi-cubically hyponormal$\}$ and describe the shape of the boundary of $\mathcal{U}$. In particular, we improve the results of \cite[Theorem 4.2]{LLB}.

Abstract

Let $\alpha :1,(1,\sqrt{x},\sqrt{y})^{\wedge }$ be a weight sequence with Stampfli's subnormal completion and let $W_{\alpha }$ be its associated weighted shift. In this paper we discuss some properties of the region $\mathcal{U}:\mathcal{=}\{(x,y):W_{\alpha }$ is semi-cubically hyponormal$\}$ and describe the shape of the boundary of $\mathcal{U}$. In particular, we improve the results of \cite[Theorem 4.2]{LLB}.

참고문헌 (22)

  1. J. Y. Bae, "Criteria for positively quadratically hyponormal weighted shifts", Proc. Amer. Math. Soc, 130(11), pp.3287~3294 (2002)
  2. 정일봉, "On Semi-cubically Hyponormal Weighted Shifts with First Two Equal Weights", Kyungpook Mathematical Journal, 56(3), pp.899~910 (2016), 경북대학교 자연과학대학 수학과
  3. S. Baek, "Semi-cubic hyponormality of weighted shifts with Stamp i recursive tail", Inte-gral Equations Operator Theory, 88(2), pp.229~248 (2017)
  4. Y. B. Choi, "A propagation of quadratically hyponormal weighted shifts", Bull. Korean Math. Soc, 37(2), pp.347~352 (2000)
  5. R. E. Curto, "Joint hyponormality: a bridge between hyponormality and subnormality, in Operator theory: operator algebras and applications, Part 2 (Durham, NH, 1988), 69-91", Proc. Sympos. Pure Math, 51(Part 2) (1990), Amer. Math. Soc
  6. R. E. Curto, "Quadratically hyponormal weighted shifts", Integral Equations Operator Theory, 13(1), pp.49~66 (1990)
  7. R. E. Curto, "Polynomially hyponormal operators on Hilbert space", Rev. Un. Mat. Argentina, 37(1-2), pp.29~56 (1991)
  8. R. E. Curto, "Recursively generated weighted shifts and the subnormal completion problem", Integral Equations Operator Theory, 17(2), pp.202~246 (1993)
  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, "Solution of the quadratically hyponormal completion prob-lem", Proc. Amer. Math. Soc, 131(8), pp.2479~2489 (2003)
  11. R. E. Curto, "Existence of nonsubnormal polynomially hyponormal op-erators", Bull. Amer. Math. Soc. (N.S.), 25(2), pp.373~378 (1991)
  12. R. E. Curto, "Nearly subnormal operators and moment problems", J. Funct. Anal, 115(2), pp.480~497 (1993)
  13. Y. Do, "On semi-weakly n-hyponormal weighted shifts", Integral Equations Operator Theory, 73(1), pp.93~106 (2012)
  14. G. Exner, "Some quadratically hyponormal weighted shifts", Integral Equations Operator Theory, 60(1), pp.13~36 (2008)
  15. P. R. Halmos, "Normal dilations and extensions of operators", Summa Brasil. Math, 2, pp.125~134 (1950)
  16. I. B. Jung, "Quadratically hyponormal weighted shifts and their examples", Integral Equations Operator Theory, 36(4), pp.480~498 (2000)
  17. I. B. Jung, "Cubically hyponormal weighted shifts and their examples", J. Math. Anal. Appl, 247(2), pp.557~569 (2000)
  18. Chunji Li, "A note on cubically hyponormal weighted shifts", 대한수학회보, 51(4), pp.1031~1040 (2014), 대한수학회
  19. C. Li, "Semi-cubically hyponormal weighted shifts with recursive type", Filomat, 27(6), pp.1043~1056 (2013)
  20. Y. T. Poon, "Quadratically hyponormal recursively generated weighted shifts need not be positively quadratically hyponormal", Integral Equations Operator Theory, 58(4), pp.551~562 (2007)
  21. J. G. Stampfi, "Which weighted shifts are subnormal?", Pacic J. Math, 17, pp.367~379 (1966)
  22. Wolfram Research, Inc, "Mathematica, Version 8.0", Wolfram Research Inc, ~ (2010)

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 제4호Weakly subnormal weighted shifts need not be 2-hyponormal이전익강원경기수학회 · 한국수학논문집2015 · 제23권 제1호A note on cubically hyponormal weighted shifts이미령, Chunji Li, Muneo Cho대한수학회 · 대한수학회보2014 · 제51권 제4호Backward extensions of Bergman-type weighted shiftChunji Li, Haiwen Wang, Wentao Qi대한수학회 · 대한수학회보2020 · 제57권 제1호k-hyponormality and weighted shifts이전익강원경기수학회 · 한국수학논문집2009 · 제17권 제3호

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