Unconditional Convergence - Definition

Definition

Let be a topological vector space. Let be an index set and for all .
The series is called unconditionally convergent to, if

  • the indexing set is countable and
  • for every permutation of the relation holds:

Read more about this topic:  Unconditional Convergence

Famous quotes containing the word definition:

    Scientific method is the way to truth, but it affords, even in
    principle, no unique definition of truth. Any so-called pragmatic
    definition of truth is doomed to failure equally.
    Willard Van Orman Quine (b. 1908)

    It’s a rare parent who can see his or her child clearly and objectively. At a school board meeting I attended . . . the only definition of a gifted child on which everyone in the audience could agree was “mine.”
    Jane Adams (20th century)

    ... we all know the wag’s definition of a philanthropist: a man whose charity increases directly as the square of the distance.
    George Eliot [Mary Ann (or Marian)