Let (X, d) be a complete metric space. We prove that there is a continuous, linear extension operator from the space of all partial, continuous, bounded metrics with closed, bounded domains in X ...
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 ...
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 ...