Resumen de Continuous linear extension of functions

Akira Koyama, I. Stasyuk, Edward D. Tymchatyn, Andriy Zagorodnyuk

• Let be a complete metric space. We prove that there is a continuous, linear, regular extension operator from the space of all partial, continuous, real-valued, bounded functions with closed, bounded domains in to the space of all continuous, bounded, real-valued functions on with the topology of uniform convergence on compact sets. This is a variant of a result of Kunzi and Shapiro for continuous functions with compact, variable domains.