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- W1974435282 abstract "In this paper, we show a complement of Ando--Hiai inequality: Let $A$ and $B$ be positive invertible operators on a Hilbert space $H$ and $alphain [0,1]$. If $A sharp_{alpha} B leq I$, then $$A^r , sharp_alpha , B^r leq |(A ,sharp_alpha , B)^{-1}|^{1-r} I quad text{for all }, 0 <r leq 1, $$ where $I$ is the identity operator and the symbol $| cdot |$ stands for the operator norm." @default.
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- W1974435282 date "2010-01-01" @default.
- W1974435282 modified "2023-09-24" @default.
- W1974435282 title "On a reverse of Ando--Hiai inequality" @default.
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- W1974435282 doi "https://doi.org/10.15352/bjma/1272374672" @default.
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