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- W4320234736 abstract "Suppose $L(H)$ is the space of all bounded linear operators on a complex Hilbert space $H.$ This article deals with the problem of characterizing the extreme contractions of $L(H)$ with respect to the numerical radius norm on $L(H).$ In contrast to the usual operator norm, it is proved that there exists a class of unitary operators on $H$ which are not extreme contractions when the numerical radius norm is considered on $L(H).$ Moreover, there are non-unitary operators on $H$ which are extreme contractions as far as the numerical radius norm is concerned." @default.
- W4320234736 created "2023-02-13" @default.
- W4320234736 creator A5079341017 @default.
- W4320234736 date "2022-10-18" @default.
- W4320234736 modified "2023-09-23" @default.
- W4320234736 title "Numerical radius norm and extreme contractions of $L(H)$" @default.
- W4320234736 doi "https://doi.org/10.48550/arxiv.2210.09734" @default.
- W4320234736 hasPublicationYear "2022" @default.
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