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We prove that the spaces of (α,β)-derivations on certain operator algebras are topologically reflexive in the weak operator topology. Characterizations of automorphisms and (α,β)-derivations on reflexive algebras are also given.
Wu Jing, and Shijie Lu. "Topological reflexivity of the spaces of (α,β)-derivations on operator algebras." Studia Mathematica 156.2 (2003): 121-131. <http://eudml.org/doc/284483>.
@article{WuJing2003, abstract = {We prove that the spaces of (α,β)-derivations on certain operator algebras are topologically reflexive in the weak operator topology. Characterizations of automorphisms and (α,β)-derivations on reflexive algebras are also given.}, author = {Wu Jing, Shijie Lu}, journal = {Studia Mathematica}, keywords = {topological reflexivity; ; ); automorphism; reflexive algebra; von Neumann algebra}, language = {eng}, number = {2}, pages = {121-131}, title = {Topological reflexivity of the spaces of (α,β)-derivations on operator algebras}, url = {http://eudml.org/doc/284483}, volume = {156}, year = {2003}, }
TY - JOUR AU - Wu Jing AU - Shijie Lu TI - Topological reflexivity of the spaces of (α,β)-derivations on operator algebras JO - Studia Mathematica PY - 2003 VL - 156 IS - 2 SP - 121 EP - 131 AB - We prove that the spaces of (α,β)-derivations on certain operator algebras are topologically reflexive in the weak operator topology. Characterizations of automorphisms and (α,β)-derivations on reflexive algebras are also given. LA - eng KW - topological reflexivity; ; ); automorphism; reflexive algebra; von Neumann algebra UR - http://eudml.org/doc/284483 ER -