Trace Inequalities of Lipschitz Type for Power Series of Operators on Hilbert Spaces
Let f (z) = ∑αn zn be a function defined by power series with complex coefficients and convergent on the open disk D(0, R) ⊂ C, R > 0. We show, amongst other that, if T, V ∈ B1 (H), the Banach space of all trace operators on H, are such that ∥T ∥1 , ∥V ∥1 < R, then f (V ), f (T ), f ′((1 − t)T...
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| Format: | Article |
| Language: | English |
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University of Extremadura
2017-06-01
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| Series: | Extracta Mathematicae |
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| Online Access: | https://publicaciones.unex.es/index.php/EM/article/view/385 |