Inequalities of Reid type and Furuta

Lin, C.-S.

doi:10.1090/S0002-9939-00-05650-1

Inequalities of Reid type and Furuta
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Proc. Amer. Math. Soc. 129 (2001), 855-859 Request permission

Abstract:

Two of the most useful inequality formulas for bounded linear operators on a Hilbert space are the Löwner-Heinz and Reid’s inequalities. The first inequality was generalized by Furuta (so called the Furuta inequality in the literature). We shall generalize the second one and obtain its related results. It is shown that these two generalized fundamental inequalities are all equivalent to one another.

References

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