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 ...

Let X be a complex Banach spcce, and denote by T a strongly continuous semigroup of linear operators denned on X and C by a cosine function of operators with associated sine function S defined on X.

Linear operators form the cornerstone of analysis in Banach spaces, offering a framework in which one can rigorously study continuity, spectral properties and stability. Banach space theory, with its ...