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The Flatness Property of Local-cubically Hyponormal Weighted Shifts

이미령|Chunji Li|백승환|Hyinjin DO
경북대학교 자연과학대학 수학과|2019.06|Kyungpook Mathematical Journal|제59권 제2호|pp. 315-324|DOI 10.5666/KMJ.2019.59.2.315

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키워드

weighted shiftsquadratically hyponormalcubically hyponormal
주제분류수학

초록

In this note we introduce a local-cubically hyponormal weighted shift of order with 0, 2 ; which is a new notion between cubic hyponormality and quadratic hyponormality of operators. We discuss the property of atness for local-cubically hyponormal weighted shifts.

Abstract

In this note we introduce a local-cubically hyponormal weighted shift of order with 0, 2 ; which is a new notion between cubic hyponormality and quadratic hyponormality of operators. We discuss the property of atness for local-cubically hyponormal weighted shifts.

참고문헌 (15)

  1. 정일봉, "On Semi-cubically Hyponormal Weighted Shifts with First Two Equal Weights", Kyungpook Mathematical Journal, 56(3), pp.899~910 (2016), 경북대학교 자연과학대학 수학과
  2. Y. B. Choi, "A propagation of quadratically hyponormal weighted shifts", Bull. Korean Math. Soc, 37, pp.347~352 (2000)
  3. R. Curto, "Joint hyponormality : A bridge between hyponormality and subnormality", Proc. Sympos. pure Math, 51, pp.69~91 (1990)
  4. R. Curto, "Quadratically hyponormal weighted shifts", Integral Equations Operator Theory, 13, pp.49~66 (1990)
  5. R. Curto, "Recursively generated weighted shifts and the subnormal completion problem", Integral Equations Operator Theory, 17, pp.202~246 (1993)
  6. R. Curto, "Recursively generated weighted shifts and the subnormal completion problem, II", Integral Equations Operator Theory, 18, pp.369~426 (1994)
  7. Y. Do, "On semi-weakly n-hyponormal weighted shifts", Integral Equations Operator Theory, 73, pp.93~106 (2012)
  8. G. Exner, "Some quadratically hyponormal weighted shifts", Integral Equations Operator Theory, 60, pp.13~36 (2008)
  9. I. B. Jung, "Quadratically hyponormal weighted shifts and their examples", Integral Equations Operator Theory, 36, pp.480~498 (2000)
  10. I. B. Jung, "Cubically hyponormal weighted shifts and their examples", J. Math. Anal. Appl, 247, pp.557~569 (2000)
  11. Chunji Li, "A note on cubically hyponormal weighted shifts", 대한수학회보, 51(4), pp.1031~1040 (2014), 대한수학회
  12. C. Li, "Semi-cubically hyponormal weighted shifts with recursive type", Filomat, 27, pp.1043~1056 (2013)
  13. J. Stampfli, "Which weighted shifts are subnormal", Pacific J. Math, 17, pp.367~379 (1966)
  14. R. Sweet, "A recursive relation for the determinant of a pentadiagonal matrix", Comm. ACM, 12, pp.330~332 (1969)
  15. Wolfram Research, Inc, "Mathematica, Version 8.0", Wolfram Research Inc., ~ (2010)

관련 논문AI추천

A note on cubically hyponormal weighted shifts이미령, Chunji Li, Muneo Cho대한수학회 · 대한수학회보2014 · 제51권 제4호On the Flatness of Semi-Cubically Hyponormal Weighted Shifts안지혜, 이춘길경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 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 제3호Weakly subnormal weighted shifts need not be 2-hyponormal이전익강원경기수학회 · 한국수학논문집2015 · 제23권 제1호k-hyponormality and weighted shifts이전익강원경기수학회 · 한국수학논문집2009 · 제17권 제3호ON THE NORM ATTAINING OPERATORS이전익강원경기수학회 · 한국수학논문집2012 · 제20권 제4호

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