본문 바로가기
KERD
논문KCI 등재

ON THE NORM ATTAINING OPERATORS

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we show the norm attaining paranormal operators have a nontrivial invariant subspace. Also, we show the norm attaining quadratically hyponormal weighted shift is subnormal.

Abstract

In this paper, we show the norm attaining paranormal operators have a nontrivial invariant subspace. Also, we show the norm attaining quadratically hyponormal weighted shift is subnormal.

참고문헌 (16)

  1. A. Athavale, "On joint hyponormality of operators", Proc. Amer. Math. Soc, 103, pp.417~423 (1988)
  2. E. Bishop, "A proof that every Banach space is subreexive", Bull. Amer. Math. Soc, 67, pp.97~98 (1961)
  3. J. Bram, "Subnormal operators", Duke Math. J, 22, pp.75~94 (1955)
  4. J. Bourgain, "On dentability and the Bishop-Phelps property", Israel J. Math, 28, pp.265~271 (1977)
  5. Y. B. Choi, "A propagation of quadratically hyponormal weighted shifts", Bull. Korean Math. Soc, 37(2), pp.347~352 (2000)
  6. J. Conway, "The Theory of Subnormal Operators", Math. Surveys Monogr, 36 (1991)
  7. J.B. Conway, "Linear combinations of hyponormal operators", Rocky Mountain J. Math, 18, pp.695~705 (1988)
  8. R.E. Curto, "Quadratically hyponormal weighted shifts", Integral Equations Op- erator Theory, 13, pp.49~66 (1990)
  9. R. Curto, "Hyponormal pairs of commuting operators", Oper. Theory Adv. Appl, 35, pp.1~22 (1988)
  10. P. Fan, "A note on hyponormal weighted shifts", Proc. Amer. Math. Soc, 92, pp.271~272 (1984)
  11. P.R. Halmos, "A Hilbert space problem book" (1982), Springer
  12. A. Iwanik, "Norm attaining operators on Lebesgue spaces", Pacic J. Math, 83, pp.381~386 (1979)
  13. J. Johnson, "Norm attaining operators", Studia Math, 65, pp.7~19 (1979)
  14. A.D. Joshi, "An example of a monotone shift which is not quadratically hyponor- mal", Math. Student, 51, pp.193~194 (1983)
  15. J. Lindenstrauss, "On operators which attain their norm", Israel J. Math, 1, pp.139~148 (1963)
  16. J. Stampi, "Which weighted shifts are subnormal", Pacic J. Math, 17, pp.367~379 (1966)

관련 논문AI추천

이 간행물의 다른 논문 (17건)