Inequalities for the normalized determinant of positive operators in Hilbert spaces via Tominaga and Furuichi results
For positive invertible operators \(A\) on a Hilbert space \(H\) and a fixed unit vector \(x\in H,\) define the normalized determinant by \(\Delta_{x}(A):=\exp \left\langle \ln Ax,x\right\rangle\). In this paper, we prove among others that, if \(0<mI\leq A\leq MI,\) then \begin{aligned}1&\...
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| Format: | Article |
| Language: | English |
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Tuncer Acar
2024-01-01
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| Series: | Modern Mathematical Methods |
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| Online Access: | https://modernmathmeth.com/index.php/pub/article/view/1 |
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