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Multiplicative versions of Klyachko’s theorem in finite factors |
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| Authors: | Tetsuo Harada |
| Institution: | 9-16-201 Hakozaki 1-chome, Higashi-ku, Fukuoka 812-0053, Japan |
| Abstract: | Let A and B be invertible positive elements in a II1-factor A, and let μs(·) be the singular number on A. We prove that exp∫Klogμs(AB)ds?exp∫Ilogμs(A)ds·exp∫Jlogμs(B)ds, |
| Keywords: | 47B15 47A05 15A42 |
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