TOPICS
Search

Orthogonal Sum


In a space E equipped with a symmetric, differential k-form, or Hermitian form, the orthogonal sum is the direct sum of two subspaces V and W, which are mutually orthogonal. It is denoted V_|_W.

More generally,

 V_1_|_V_2_|_..._|_V_n

denotes a direct sum of subspaces of E which are pairwise orthogonal.


See also

Orthogonal Complement, Orthogonal Decomposition

This entry contributed by Margherita Barile

Explore with Wolfram|Alpha

Cite this as:

Barile, Margherita. "Orthogonal Sum." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/OrthogonalSum.html

Subject classifications