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- W4302306611 abstract "We prove that if every bounded linear operator (or $N$-homogeneous polynomials) with the compact approximation property attains its numerical radius, then $X$ is a finite dimensional space. Moreover, we present an improvement of the polynomial James' theorem for numerical radius proved by Acosta, Becerra Guerrero and Gal$'a$n in 2003. Finally, the denseness of weakly (uniformly) continuous $2$-homogeneous polynomials on a Banach space whose Aron-Berner extensions attain their numerical radii is obtained." @default.
- W4302306611 created "2022-10-06" @default.
- W4302306611 creator A5063764927 @default.
- W4302306611 date "2022-10-04" @default.
- W4302306611 modified "2023-09-27" @default.
- W4302306611 title "A note on numerical radius attaining mappings" @default.
- W4302306611 doi "https://doi.org/10.48550/arxiv.2210.01654" @default.
- W4302306611 hasPublicationYear "2022" @default.
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