Determinant type generalizations of Heinz-Kato theorem via Furuta inequality

Furuta, Takayuki

doi:10.1090/S0002-9939-1994-1176068-1

Determinant type generalizations of Heinz-Kato theorem via Furuta inequality

Author: Takayuki Furuta
Journal: Proc. Amer. Math. Soc. 120 (1994), 223-231
MSC: Primary 47A63; Secondary 47A30, 47B15
DOI: https://doi.org/10.1090/S0002-9939-1994-1176068-1
MathSciNet review: 1176068
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Abstract: A capital letter means a bounded linear operator on a complex Hilbert space . By a nice application of the Furuta inequality, we give two kinds of determinant type generalizations (Theorems 1 and 2 in $\S1$ ) of the famous and well-known Heinz-Kato theorem containing the terms $T,\;\vert T\vert$ , and $\vert{T^{\ast}}\vert$ .

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