The orthogonal complement of a subset of an inner-product space is
(1)
For a linear subspace of a Hilbert space,
(1)
Thus exactly when is closed.

Ancestors (8)

  1. Orthogonal decomposition by a closed subspace
  2. Hilbert projection theorem
  3. Hilbert space
  4. Functional analysis
  5. Analysis
  6. Area of mathematics
  7. Mathematics
  8. Home

Incoming links (142)

View article source

Discussion (0)

New discussion

There are no discussions about this article yet.

Articles by others on the same topic (1)

Orthogonal complement by Wikipedia Bot 1
View more
In linear algebra, the **orthogonal complement** of a subspace \( V \) of a Euclidean space (or more generally, an inner product space) is the set of all vectors that are orthogonal to every vector in \( V \).
Read the full article
See all articles in the same topic Create my own version