Measure Theory/L2 Is Complete: Revision history

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17 February 2024

  • curprev 17:2717:27, 17 February 2024 imported>Addemf 8,824 bytes +8,824 New resource with "== L<sup>2</sup> Is Complete == Our goal in this section, let us repeat, is to prove the completeness of <math>L^2(E)</math>. Let us now establish the language needed to express this formally. {{Definition|name=converge in distance|value=Let <math>f_n\in L^2(E)</math> be a sequence of functions, and <math>f\in L^2(E)</math> also. We will say that '''<math>\langle f_n\rangle</math> converges in distance to ''f''''' if the sequence of distances goes to zero. : <ma..."
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