The study of holomorphic semigroups and composition operators occupies a pivotal role in modern analysis, bridging complex function theory and operator theory. Holomorphic semigroups, formed by ...
We first prove a strong convergence theorem of Mann's type for a commutative family of continuous linear operators in a Banach space by using strongly regular sequences of means on commutative ...
The paper defines and studies the Drazin inverse for a closed linear operator A in a Banach space X in the case that 0 is an isolated spectral point of A. Results include an integral representation ...