Distance to spaces of continuous functions |
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| Authors: | B Cascales W Marciszewski M Raja |
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| Institution: | a Departamento de Matemáticas, Universidad de Murcia, 30,100 Espinardo, Murcia, Spain
b Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland |
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| Abstract: | We link here distances between iterated limits, oscillations, and distances to spaces of continuous functions. For a compact space K, a uniformly bounded set H of the space of real-valued continuous functions C(K), and ε?0, we say that H ε-interchanges limits with K, if the inequality |
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| Keywords: | primary 46A50 secondary 46B50 54D30 |
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