Abstract
A ≥ B ≥ 0 assures (B r A p B r)1/q ≥ B(p+2r)/q for r ≥ 0, p ≥ 0, q ≥ 1 with (1 + 2r)q ≥ (p + 2r). This is Furuta’s inequality. In this paper, we show that Furuta’s inequality can be applied to estimate the value of the relative operator entropy and also this inequality can be applied to extend Ando’s result.
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© 1992 Springer Basel AG
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Furuta, T. (1992). Applications of Order Preserving Operator Inequalities. In: Ando, T., Gohberg, I. (eds) Operator Theory and Complex Analysis. Operator Theory: Advances and Applications, vol 59. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8606-2_9
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DOI: https://doi.org/10.1007/978-3-0348-8606-2_9
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9699-3
Online ISBN: 978-3-0348-8606-2
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