Suppose that f0 is a linear functional defined on a subspace Z of X such that f0(x)
Question:
f0(x) ¤ g(x) for every x Z
where g X* is convex. Show that
1. The sets
and
are convex subsets of the linear space Y = X Ã (figure 3.21)
2. int A
and int A©B =
.
3. There exists a linear functional
Transcribed Image Text:
(X), X E
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