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Random operators in analysis

  1. Oct 20, 2008 #1
    operators are those functions which are having domain any set or any function the range is also a function. In simple words operators is a machine which is having domain and range as a set of functions. random operators are those spectiol type of fuctions which are define on a measured space.
  2. jcsd
  3. Oct 20, 2008 #2
    My question is ,
    1- why in the case of random operators we do use separable metric space ?
    2- random operator is an operator must have domain as a set of functions but in some cases we took elements of any sets as the member of its domain what is basically reason for that
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