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Equivalence relations among reid, Löwner-Heinz and Heinz-Kato inequalities, and extensions of these inequalities

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Abstract

Equivalence relations among the Reid inequality, the Löwner-Heinz inequality, and the Heinz-Kato inequality are given. Extensions of these inequalities are given using the Furuta inequality.

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Dedicated to Professor Zirô Takeda on his 75th birthday with respect and affection

Research supported in part by Grand-in-Aid for Scientific Research.

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Furuta, T. Equivalence relations among reid, Löwner-Heinz and Heinz-Kato inequalities, and extensions of these inequalities. Integr equ oper theory 29, 1–9 (1997). https://doi.org/10.1007/BF01191475

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