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- W4302381568 abstract "If $a,b$ are $ntimes n$ matrices, Ando proved that Young's inequality is valid for their singular values: if $p>1$ and $1/p+1/q=1$, then $$ lambda_k|ab^*|le lambda_k( frac1p |a|^p+frac 1q |b|^q ) , textit{ for all }k. $$ Later, this result was extended for the singular values of a pair of compact operators acting on a Hilbert space by Erlijman, Farenick and Zeng. In this paper we prove that if $a,b$ are compact operators, then equality holds in Young's inequality if and only if $|a|^p=|b|^q$, obtaining a complete characterization of such $a,b$ in relation to other (operator norm) Young inequalities." @default.
- W4302381568 created "2022-10-06" @default.
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- W4302381568 date "2015-05-09" @default.
- W4302381568 modified "2023-10-14" @default.
- W4302381568 title "Young's (in)equality for compact operators" @default.
- W4302381568 doi "https://doi.org/10.48550/arxiv.1505.02267" @default.
- W4302381568 hasPublicationYear "2015" @default.
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