On a dual locally uniformly rotund norm on a dual Vašák space
    
    
  
  
  
      
      
      
        
Studia Mathematica, Tome 101 (1991) no. 1, pp. 69-81
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
            
              We transfer a renorming method of transfer, due to G. Godefroy, from weakly compactly generated Banach spaces to Vašák, i.e., weakly K-countably determined Banach spaces. Thus we obtain a new construction of a locally uniformly rotund norm on a Vašák space. A further cultivation of this method yields the new result that every dual Vašák space admits a dual locally uniformly rotund norm.
            
            
            
          
        
      @article{10_4064_sm_101_1_69_81,
     author = {Mari\'an Fabian},
     title = {On a dual locally uniformly rotund norm on a dual {Va\v{s}\'ak} space},
     journal = {Studia Mathematica},
     pages = {69--81},
     publisher = {mathdoc},
     volume = {101},
     number = {1},
     year = {1991},
     doi = {10.4064/sm-101-1-69-81},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-101-1-69-81/}
}
                      
                      
                    TY - JOUR AU - Marián Fabian TI - On a dual locally uniformly rotund norm on a dual Vašák space JO - Studia Mathematica PY - 1991 SP - 69 EP - 81 VL - 101 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-101-1-69-81/ DO - 10.4064/sm-101-1-69-81 LA - en ID - 10_4064_sm_101_1_69_81 ER -
Marián Fabian. On a dual locally uniformly rotund norm on a dual Vašák space. Studia Mathematica, Tome 101 (1991) no. 1, pp. 69-81. doi: 10.4064/sm-101-1-69-81
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