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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2008.1
- 수록면
- 67 - 79 (13page)
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In this paper, we characterize the chaotic operator order A ≫ C ≫ B: Consequently all other possible characterizations follow easily. Some satellite theorems of the Furuta inequality are naturally given. And finally, using results of characterizing A ≫ C ≫ B, and by the Douglas’s majorization and factorization theorem we are able to characterize the chaotic operator order A ≫ B in terms of operator equalities.
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참고문헌 (14)
참고문헌 신청
C.-S. Lin / 2007 / On operator order and chaotic operator order for two operators / Linear Algebra Appl 425 : 1 ~ 6
E. Kamei / 1988 / A satellite to Furuta’s inequality / Math. Japon 33 : 883 ~ 886
E. Kamei / 2001 / Chaotic order and Furuta inequality / Sci. Math. Japon 53 : 289 ~ 293
F. Kubo / 1980 / Means of positive linear operators / Math. Ann 264 : 205 ~ 224
M. Fujii / 1992 / Furuta’s inequality and a generalization of Ando’s theorem / Proc. Amer. Math. Soc 115 : 409 ~ 413
E. Kamei / 1988 / A satellite to Furuta’s inequality / Math. Japon 33 : 883 ~ 886
E. Kamei / 2001 / Chaotic order and Furuta inequality / Sci. Math. Japon 53 : 289 ~ 293
F. Kubo / 1980 / Means of positive linear operators / Math. Ann 264 : 205 ~ 224
M. Fujii / 1992 / Furuta’s inequality and a generalization of Ando’s theorem / Proc. Amer. Math. Soc 115 : 409 ~ 413
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