The numerical radius of Lipschitz operators on Banach spaces
Ruidong Wang
Studia Mathematica, Tome 209 (2012), p. 43-52 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:286207 
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     title = {The numerical radius of Lipschitz operators on Banach spaces},
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     volume = {209},
     year = {2012},
     pages = {43-52},
     zbl = {1271.46012},
     language = {en},
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Ruidong Wang. The numerical radius of Lipschitz operators on Banach spaces. Studia Mathematica, Tome 209 (2012) pp. 43-52. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm209-1-4/