L1 Space: Difference between revisions

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(Created page with "==Introduction== From our study of integration, we know that: <ol> <li>If </math>c\geq 0, \int c\phi=c\int\phi</math> <ol> <math>\{f_n\}</math> is a sequence of non-negative...")
 
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<ol>
<ol>
<li>If </math>c\geq 0, \int c\phi=c\int\phi</math>
<li>If <math>c\geq 0, \int c\phi=c\int\phi</math>
<ol>
<ol>
  <math>\{f_n\}</math> is a sequence of non-negative measurable functions, <math> f_n: X \to [0,+\infty]</math>.  
  <math>\{f_n\}</math> is a sequence of non-negative measurable functions, <math> f_n: X \to [0,+\infty]</math>.  

Revision as of 08:13, 15 December 2020

Introduction

From our study of integration, we know that:

  1. If
      is a sequence of non-negative measurable functions, . Then:

      References