Continuous linear extension of functions
- Autores: Akira Koyama, I. Stasyuk, Edward D. Tymchatyn, Andriy Zagorodnyuk
- Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 11, 2010, págs. 4149-4155
- Idioma: inglés
- DOI: 10.1090/s0002-9939-2010-10424-0
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Resumen
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.
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