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Abstract
En este artículo se demuestra que el Espacio Lp es un espacio de Banach; siguiendo el siguiente esquema:Demostrando que Lp es normado y que toda sucesión de Cauchy de elementos de Lp, converge en Lp, es decir que Lp es completo.Como caso particular, se muestra que para p = 2, L2, es un espacio de Hilbert.
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