Representation of Continuous Functions and Its Applications |
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| Authors: | Wilfredo Sosa |
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| Affiliation: | 1. Graduate School in Economics, Catholic University of Brasilia, SGAN 916, Modulo B, 70790-000, Brasilia, DF, Brazil
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| Abstract: | ![]()
In this work, we introduce a Representation of continuous real-valued functions defined over a real Hilbert space. As a consequence, we can introduce a Sandwich Theorem for semi-continuous functions, a Separation Theorem for closed sets and a representation Theorem of lower semi-continuous functions. |
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