The numerical radius of Lipschitz operators
 on Banach spaces
    
    
  
  
  
      
      
      
        
Studia Mathematica, Tome 209 (2012) no. 1, pp. 43-52
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
            
              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. 
            
            
            
          
        
      
                  
                    
                    
                    
                        
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
                    
                    
                    
                  
                
                
                
                
                
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              Ruidong Wang 1
@article{10_4064_sm209_1_4,
     author = {Ruidong Wang},
     title = {The numerical radius of {Lipschitz} operators
 on {Banach} spaces},
     journal = {Studia Mathematica},
     pages = {43--52},
     publisher = {mathdoc},
     volume = {209},
     number = {1},
     year = {2012},
     doi = {10.4064/sm209-1-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm209-1-4/}
}
                      
                      
                    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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