Linear mappings preserving similarity on $B(H)$
    
    
  
  
  
      
      
      
        
Studia Mathematica, Tome 161 (2004) no. 2, pp. 177-186
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
            
              Let $H$ be an infinite-dimensional complex Hilbert space. We give a characterization of surjective linear mappings on $B( H) $ that preserve similarity in both directions. 
            
            
            
          
        
      
                  
                    
                    
                    
                        
Keywords: 
infinite dimensional complex hilbert space characterization surjective linear mappings preserve similarity directions
                    
                    
                    
                  
                
                
                
                
                
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              Tatjana Petek 1
@article{10_4064_sm161_2_5,
     author = {Tatjana Petek},
     title = {Linear mappings preserving similarity on $B(H)$},
     journal = {Studia Mathematica},
     pages = {177--186},
     publisher = {mathdoc},
     volume = {161},
     number = {2},
     year = {2004},
     doi = {10.4064/sm161-2-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm161-2-5/}
}
                      
                      
                    Tatjana Petek. Linear mappings preserving similarity on $B(H)$. Studia Mathematica, Tome 161 (2004) no. 2, pp. 177-186. doi: 10.4064/sm161-2-5
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