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Chapter 9
Operators on
Real Vector Spaces
In this chapter we delve deeper into the structure of operators on
real vector spaces. The important results here are somewhat more com-
plex than the analogous results from the last chapter on complex vector
spaces.
Recall that F denotes R or C.
Also, V is a finite-dimensional, nonzero vector space over F.
Some of the new results in this chapter are valid on complex vector
spaces, so we have not assumed that V is a real vector space.
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