Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



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
MathSciNet review: 1176068
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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 $ \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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Keywords: Positive operator, operator inequality, the Furuta inequality
Article copyright: © Copyright 1994 American Mathematical Society