Measure Theory/L2 Vector Space: Revision history

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17 February 2024

  • curprev 17:2617:26, 17 February 2024 imported>Addemf 1,815 bytes +1,815 New resource with "== Closure Properties == One of the most fundamental properties one can ask for when investigating a set equipped with some operations, is: Is the set closed? Here we have the set <math>L^2(E)</math> which, recall, is the set of all functions with finite <math>L^2(E)</math> norm, and <math>E\subseteq \Bbb R</math>. We start by considering the operation of summing two functions. Then we would like to show that if <math> f,g \in L^2(E)</math> then <math>f+g\in L^2(E)</..."
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