Codex Wiki OurBigBook logoOurBigBook.comSite Source code

Completeness of the dual space

The continuous dual of every normed space is Banach because an operator-norm Cauchy sequence converges pointwise to a bounded linear functional and then uniformly on the unit ball.

Ancestors (6)

  1. Continuous dual space
  2. Functional analysis
  3. Analysis
  4. Area of mathematics
  5. Mathematics
  6. Home

Incoming links (1)