Amenya Collins Sule

Range–kernel Orthogonality for Generalized Derivations Associated with Generalized Finite Pairs

Let  be a complex Hilbert space,  the algebra of bounded operators on , and  the generalized derivation determined by . A pair  is generalized finite when  for every . This paper develops a formulation that keeps generalized finiteness, which is a property of the pair , distinct from range–kernel orthogonality, which c...