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A study on generalized quasi-class A operators

전인호|김건호
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2009.06|한국수학논문집 (Korean Journal of Mathematics)|제17권 제2호|pp. 155-159

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참고문헌

키워드

quasi-class (Ak) operator
주제분류수학

초록

In this paper, we consider the operator T satisfying T*k(|T²|-|T|²)Tk≥0 and prove that if the operator is injective and has the real spectrum, then it is self-adjoint.

Abstract

In this paper, we consider the operator T satisfying T*k(|T²|-|T|²)Tk≥0 and prove that if the operator is injective and has the real spectrum, then it is self-adjoint.

참고문헌 (11)

  1. M. Cho, "An operator transform from class A to the class of hyponormal operators and its application", Integr. Equ. Oper. Theory, 53, pp.497~508 (2005)
  2. T. Furuta, "Invitation to Linear Operators" (2001), Taylor and Francis
  3. T. Furuta, "A subclass of paranormal operators including class of log-hyponormal and several related classes", Scientiae Mathematicae, 1, pp.389~403 (1998)
  4. F. Hansen, "An operator inequality", Math. Ann, 246, pp.249~250 (1980)
  5. I. H. Jeon, "On operators satisfying T＊∣T2∣T ¸ T＊∣T∣2T, Linear Algebra and its Applications", 418, pp.854~862 (2006)
  6. I. H. Jeon, "A. Uchiyama, Conditions implying self-adjointness of operators", Integr. Equ. Oper. Theory, 61, pp.549~557 (2008)
  7. I. H. Kim, "The Fuglede-Putnam theorem for (p; k)-quasihyponormal operators", J. Ineq. Appl, pp.397~403 (2006)
  8. C. R. Putnam, "An inequality for the area of hyponormal spectra", Math. J, 116, pp.323~330 (1970)
  9. I. H. Sheth, "On hyponormal operators", Proc. Amer. Math. Soc.,, 17, pp.998~1000 (1966)
  10. K. Tanahashi, "Quasinilpotent part of class A or (p; k)-quasihyponormal operators, Operator Theory: Advanced and Applications", Birkhauser Verlag Basel, 181, pp.199~210 (2009)
  11. J. P. Williams, "Operators similar to their adjoints", Proc. Amer. Math. Soc, 20, pp.121~123 (1969)

관련 논문AI추천

Structural and spectral properties of $k$-quasi-$*$-paranormal operatorsFei Zuo, Hongliang Zuo강원경기수학회 · 한국수학논문집2015 · 제23권 제2호Continuity of the spectrum on a class A(k)김인현, 전인호강원경기수학회 · 한국수학논문집2013 · 제21권 제1호Continuity of the spectrum on (classA)이재원, 전인호강원경기수학회 · 한국수학논문집2013 · 제21권 제1호A STUDY ON OPERATORS SATISFYING |T^2| ≥ |T^∗|^2이재원, 전인호강원경기수학회 · 한국수학논문집2011 · 제19권 제1호On operators satisfying T*m(T*|T|2kT)1/(k+1)Tm≥*m|T|2TmMohammad H. M. Rashid대한수학회 · 대한수학회논문집2017 · 제32권 제3호On quasi-class A operators김인현, 전인호, B. P. Duggal강원경기수학회 · 한국수학논문집2011 · 제19권 제2호

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