ON CHAOTIC OPERATOR ORDER A ≫ C ≫ B IN HILBERT SPACES
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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.
Abstract
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.
참고문헌 (14)
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