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,


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

See also

Orthogonal Complement, Orthogonal Decomposition

This entry contributed by Margherita Barile

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Cite this as:

Barile, Margherita. "Orthogonal Sum." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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