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Chapter 7
Operators on
Inner-Product Spaces
The deepest results related to inner-product spaces deal with the
subject to which we now turn—operators on inner-product spaces. By
exploiting properties of the adjoint, we will develop a detailed descrip-
tion of several important classes of operators on inner-product spaces.
Recall that F denotes R or C.
Let’s agree that for this chapter
V is a finite-dimensional, nonzero, inner-product space over F.
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