On duality and spectral properties of ( a, k)-regularized resolvents

Carlos Lizama, Humberto Prado
2009 Proceedings of the Royal Society of Edinburgh. Section A Mathematics  
We construct a duality theory for(a, k)-regularized resolvents, extending some of the known theorems for dual semigroups. We present several classes of spaces, which in the semigroup case correspond to the Favard class and the sun-dual space. By duality arguments spectral inclusion theorems for regularized resolvents are also obtained.
doi:10.1017/s0308210507000364 fatcat:vw7u4m43efcs7byo5hfwun2rca