The numerical radius of Lipschitz operators on Banach spaces
Studia Mathematica, Tome 209 (2012) no. 1, pp. 43-52

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We study the numerical radius of Lipschitz operators on Banach spaces. We give its basic properties. Our main result is a characterization of finite-dimensional real Banach spaces with Lipschitz numerical index $1$. We also explicitly compute the Lipschitz numerical index of some classical Banach spaces.
DOI : 10.4064/sm209-1-4
Keywords: study numerical radius lipschitz operators banach spaces its basic properties main result characterization finite dimensional real banach spaces lipschitz numerical index nbsp explicitly compute lipschitz numerical index classical banach spaces

Ruidong Wang 1

1 Science of College Tianjin University of Technology 300384, Tianjin, China
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Ruidong Wang. The numerical radius of Lipschitz operators
 on Banach spaces. Studia Mathematica, Tome 209 (2012) no. 1, pp. 43-52. doi: 10.4064/sm209-1-4

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