Products of Toeplitz operators and Hankel operators
    
    
  
  
  
      
      
      
        
Studia Mathematica, Tome 220 (2014) no. 3, pp. 277-292
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
            
              We first determine when the sum of products of Hankel and Toeplitz operators is equal to zero; then we characterize when the product of a Toeplitz operator and a Hankel operator is a compact perturbation of a Hankel operator or a Toeplitz operator and when it is a finite rank perturbation of a Toeplitz operator. 
            
            
            
          
        
      
                  
                    
                    
                    
                        
Keywords: 
first determine sum products hankel toeplitz operators equal zero characterize product toeplitz operator hankel operator compact perturbation hankel operator toeplitz operator finite rank perturbation toeplitz operator
                    
                    
                    
                  
                
                
                
                
                
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              Yufeng Lu 1 ; Linghui Kong 1
@article{10_4064_sm220_3_5,
     author = {Yufeng Lu and Linghui Kong},
     title = {Products of {Toeplitz} operators and {Hankel} operators},
     journal = {Studia Mathematica},
     pages = {277--292},
     publisher = {mathdoc},
     volume = {220},
     number = {3},
     year = {2014},
     doi = {10.4064/sm220-3-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm220-3-5/}
}
                      
                      
                    Yufeng Lu; Linghui Kong. Products of Toeplitz operators and Hankel operators. Studia Mathematica, Tome 220 (2014) no. 3, pp. 277-292. doi: 10.4064/sm220-3-5
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