Topological reflexivity of the spaces of $(\alpha , \beta )$-derivations on operator algebras
Volume 156 / 2003
                    
                    
                        Studia Mathematica 156 (2003), 121-131                    
                                        
                        MSC: 47B47, 47L75.                    
                                        
                        DOI: 10.4064/sm156-2-3                    
                                    
                                                Abstract
We prove that the spaces of $(\alpha , \beta )$-derivations on certain operator algebras are topologically reflexive in the weak operator topology. Characterizations of automorphisms and $(\alpha ,\beta )$-derivations on reflexive algebras are also given.