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ON PROPERTIES OF QUASI-CLASS A OPERATORS

전인호|이재원
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2008.09|한국수학논문집 (Korean Journal of Mathematics)|제16권 제3호|pp. 349-353

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참고문헌

키워드

quasi-class A operatorthe property (β)
주제분류수학

초록

Let the set of all quasi-class A operators for which ker(A) µ ker(A¤) be denoted by A 2 QA¤. In this paper it is proved that an operator T 2 QA¤ is normal if and only if the Dug- gal transform of T is normal.

Abstract

Let the set of all quasi-class A operators for which ker(A) µ ker(A¤) be denoted by A 2 QA¤. In this paper it is proved that an operator T 2 QA¤ is normal if and only if the Dug- gal transform of T is normal.

참고문헌 (11)

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  4. C. Foias, "Complete contractivity of maps as- sociated with the Aluthge and Duggal transforms", Paci¯c J. Math, 209, pp.249~259 (2003)
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  6. T. Furuta, "A subclass of paranormal operators includ- ing class of log-hyponormal and several related classes", Scientiae Mathematicae, 1, pp.389~403 (1998)
  7. I. H. Jeon, "p-Hyponormal operators and quasisimilarity", Integr. Equat. Oper. Th, 49, pp.397~403 (2004)
  8. In Ho Jeon, "On operators satisfying T¤jT2jT ¸ T¤jTj2T", Linear Algebra and its Applications, 418, pp.854~862 (2006)
  9. I. H. Jeon, "On p-quasihyponormal operators and quasisimilarity", Math. Ineq. Appl, 6, pp.309~315 (2003)
  10. K.B. Laursen, "Introduction to local spectral theory" (2000), Claren- don Press
  11. K. Tanahashi, "Isolated point of spectrum of p-qusihyponormal operators", Linear Algebra and its Applications, 341, pp.345~350 (2002)

관련 논문AI추천

A BERBERIAN TYPE EXTENSION OF FUGLEDE-PUTNAM THEOREM FOR QUASI-CLASS A OPERATORS김인현, 전인호강원경기수학회 · 한국수학논문집2008 · 제16권 제4호On k-quasi-class A contractions김인현, 전인호강원경기수학회 · 한국수학논문집2014 · 제22권 제1호A study on generalized quasi-class A operators김건호, 전인호강원경기수학회 · 한국수학논문집2009 · 제17권 제2호A STUDY ON OPERATORS SATISFYING |T^2| ≥ |T^∗|^2이재원, 전인호강원경기수학회 · 한국수학논문집2011 · 제19권 제1호On quasi-class A operators김인현, 전인호, B. P. Duggal강원경기수학회 · 한국수학논문집2011 · 제19권 제2호Spectral Properties of k-quasi-class A(s, t) OperatorsNaim Latif Braha, Salah Mecheri경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제3호

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