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
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Proc. Amer. Math. Soc. 120 (1994), 223-231 Request permission

Abstract:

A capital letter means a bounded linear operator on a complex Hilbert space $H$. By a nice application of the Furuta inequality, we give two kinds of determinant type generalizations (Theorems 1 and 2 in $\S 1$) of the famous and well-known Heinz-Kato theorem containing the terms $T,\;|T|$, and $|{T^{\ast }}|$.

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