On operator order and chaotic operator order for two operators |
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Authors: | C-S Lin |
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Institution: | Department of Mathematics Bishop’s University 2600 College Street Sherbrooke, Quebec, Canada J1M 0C8 |
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Abstract: | In this paper we characterize operator order A?B?O and chaotic operator order log A?logB for positive and invertible operators A and B in terms of operator inequalities via the Furuta inequality and operator equalities due to the Douglas’s majorization and factorization. Related results are obtained, which include generalizations and characterizations of some well-known results. |
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Keywords: | 47A63 |
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