본문 바로가기
KERD
논문KCI 등재

On operators with an absolute value condition

B. P. Duggal|In Ho Jeon
대한수학회 (The Korean Mathematical Society)|2004.07|대한수학회지 (Journal of the KMS)|제41권 제4호|pp. 617-627

1

조회

0

다운로드

5

인용

0

참고문헌

주제분류수학

초록

Abstract

Let A denote the class of bounded linear Hilbert space operators with the property that jA2j ¸ jAj2. In this paper we show that A-operators are ¯nitely ascensive and that, for non-zero operators A and B, A ­ B is in A if and only if A and B are in A. Also, it is shown that if A is an operator such that p(A) is in A for a non-trivial polynomial p, then Weyl's theorem holds for f(A), where f is a function analytic on an open neighborhood of the spectrum of A.

참고문헌 (28)

  1. "On p-hyponormal operators for 0 < p < 1", pp.315~ (1990)
  2. "Operators with a norm condition", pp.178~ (1972)
  3. "Spectra of tensor products of operators", pp.166~ (1966)
  4. "Weyl spectrum of an operator", pp.544~ (1970), Indiana Univ. Math. J. 20
  5. "p-hyponormality is not translation-invariant", 131, pp.3199~3111 (2003)
  6. "Paranormal operators on Banach spaces", (chourasia a p. b. ramajan), pp.168~ (1980)
  7. "Tensor products of operators{ strong stability andp-hyponormality", 42, pp.371~381 (2000)
  8. "Weyl's theorem in the class of algebraically", 40, pp.49~56 (2000)
  9. "Invitation to linear operators" (2001), Taylor & Francis
  10. "A subclass of paranormal operators in-cluding class of log-hyponormal and several related classes", 1, pp.389~403 (1998)
  11. "Weyl's theorem holds for algebraically hyponormaloperators", 128, pp.2291~2296 (2000)
  12. R. E. Harte, "Invertibility and Singularity for Bounded Linear Operators" (1988)
  13. R. E. Harte, "Another note on Weyl's theorem", 349, pp.2115~2124 (1997)
  14. Acta Math. Sinica, "On tensor products of operators", (s.), pp.202~ (1993), Jin-chuan Hou
  15. V. Istratescu, "On a class of operators", pp.413~ (1967)
  16. M. Ito, "Several properties on classA including p-hyponormal and log-hyponormal", 2, pp.569~578 (1999)
  17. I. H. Jeon, "Weyl's theorem and quasi-similarity", 39, pp.214~221 (2001)
  18. K. B. Laursen, "Operators with nite ascent", pp.336~ (1992)
  19. "Essential spectra through local spectral theory", 125, pp.1425~1434 (1997)
  20. K. B. Laursen, "An Introduction to Local Spectral Theory" (2000), Oxford Univ. Press
  21. "A spectral mapping theorem for the Weyl spectrum", 38, pp.61~64 (1996)
  22. "90.On operators with an absolute value condition 627" (1977)
  23. "Paranormal operators with countable spectrum are normal operators", pp.594~ (1987)
  24. "Lecture Notes in Mathe-matics", hypo 247(rmal operators and related topics) (1971), Springer-Verlag
  25. "Seminormality of operators from their tensor products", 124, pp.435~440 (1996)
  26. "Weyl's theorem for class A operators", 4, pp.143~150 (2001)
  27. "An example of non-reducing eigenspace of a paranormal operators", 14, pp.121~123 (2003)
  28. "Spectral Theory of Hyponormal Operators" (1983)

관련 논문AI추천

On positive-normal operators고응일, 김세희, 전인호, Ji Eun Park대한수학회 · 대한수학회보2002 · 제39권 제1호On operator interpolation problems강주호, 조영수, Ki Sook Kim대한수학회 · 대한수학회지2004 · 제41권 제3호On the range closure of an elementary operatorBhagwati Prasad Duggal, Jose Angel Canavati, Slavisa V. Djordjevi\'c대한수학회 · 대한수학회보2006 · 제43권 제4호Essential norms and stability constants of weighted compositionHiroyuki Takagi, Sin-Ei Takahasi, Takeshi Miura대한수학회 · 대한수학회보2003 · 제40권 제4호A note on invariant subspaces for operator algebrasAlan Lambert대한수학회 · 대한수학회보2003 · 제40권 제4호On H\＂{o}lder-McCarthy-type inequalities with powers조열제, Chia-Shiang Lin대한수학회 · 대한수학회지2002 · 제39권 제3호

이 간행물의 다른 논문 (9건)

Foundations of the theory of $\ell_{1}$ homologyHeeSook Parkpp. 591-615The existence of semialgebraic slices and its applicationsDae Heui Park, Myung-Jun Choi, 서동엽pp. 629-646Nonlinear variational evolution inequalities with nonlocal conditionsJin-Mun Jeong, Jong-Yeoul Park, Dong-Hwa Kimpp. 647-665On distance-preserving mappingsSoon-Mo Jung, Themistocles M. Rassiaspp. 667-680Finite element approximation and computations of optimal Dirichlet boundary control problems for the Boussinesq equationsHyung-Chun Lee, 김수현pp. 681-715
원문 보기