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- W2945585033 abstract "Let $D$ be an invertible multiplication operator on $L^2(X, mu)$, and let $A$ be a bounded operator on $L^2(X, mu)$. In this note we prove that $|A|^2 le |D A| , |D^{-1} A|$, where $|cdot|$ denotes the operator norm. If, in addition, the operators $A$ and $D$ are positive, we also have $w(A)^2 le w(D A) , w(D^{-1} A)$, where $w$ denotes the numerical radius." @default.
- W2945585033 created "2019-05-29" @default.
- W2945585033 creator A5060575349 @default.
- W2945585033 date "2019-05-20" @default.
- W2945585033 modified "2023-09-27" @default.
- W2945585033 title "Operator norm and numerical radius analogues of Cohen's inequality" @default.
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