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)

    One definition of man is “an intelligence served by organs.”
    Ralph Waldo Emerson (1803–1882)

    ... if, as women, we accept a philosophy of history that asserts that women are by definition assimilated into the male universal, that we can understand our past through a male lens—if we are unaware that women even have a history—we live our lives similarly unanchored, drifting in response to a veering wind of myth and bias.
    Adrienne Rich (b. 1929)