2010年11月

# CONTINUOUS LINEAR EXTENSION OF FUNCTIONS

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
• A. Koyama
• ,
• I. Stasyuk
• ,
• E. D. Tymchatyn
• ,
• A. Zagorodnyuk

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AMER MATHEMATICAL SOC

Let (X, d) be a complete metric space. We prove that there is a continuous, linear, regular extension operator from the space C*(b) of all partial, continuous, real-valued, bounded functions with closed, bounded domains in X to the space C*(X) of all continuous, bounded, real-valued functions on X 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.

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