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complementary subspace

Defines: 
complementary, direct sum, decomposition, orthogonal complement
Synonym: 
algebraic complement
Type of Math Object: 
Definition
Major Section: 
Reference
Groups audience: 

Mathematics Subject Classification

15A03 no label found

Comments

Hello -

I am wondering if you would mind my adding a short exposition to your post concerning Sum and Direct Sum.

I have proved some fundamental results and would like to post them with your addition and perhaps get some input.

Patrick J. O'Hara

Regarding the remark following Proposition1: I don’t believe that, given UUU, subspacePlanetmathPlanetmathPlanetmath of VVV, that UUU has a unique complement in VVV. E.g. any two lines in 2superscript2\mathbb{R}^{2} are complementaryPlanetmathPlanetmath. Did I misunderstand something here?

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