Abstract
The Furuta inequality is as follows: A ≥ B ≥ 0 assures (B r A p B r)1/q ≥ B (p+2r)/q for r ≥ 0, p ≥ 0, q ≥ 1 with (l + 2r)q ≥ p+2r. We shall give two applications of this inequality. At first we give characterizations of operators satisfying log A ≥ log B. Then we give norm inequalities preserving some order.
I would like to express my sincere appreciation to Professor A. Gheondea for inviting me to the 14th International Conference on Operator Theory at Timişoara and for his hospitality to me during this Conference which has been been excellently organized.
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Dedicated to Professor Szökefalvi-Nagy Béla at his 80th birthday
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© 1993 Springer Basel AG
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Furuta, T. (1993). Applications of the Furuta Inequality to Operator Inequalities and Norm Inequalities Preserving Some Orders. In: Gheondea, A., Timotin, D., Vasilescu, FH. (eds) Operator Extensions, Interpolation of Functions and Related Topics. Operator Theory: Advances and Applications, vol 61. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8575-1_6
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DOI: https://doi.org/10.1007/978-3-0348-8575-1_6
Publisher Name: Birkhäuser, Basel
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