Then by the Hahn-Banach Separation Theorem
, there is [x.
By the Sturm type separation theorem
, one solution of (6.
The separation theorem
says, for instance, that there is a vector orthogonal to the point b' on the arm such that for any h in H, ph' [less than or equal to] ph, and for any b in B, pb' [greater than or equal to] pb.
This paper extends the Fisher Separation Theorem
of finance and microeconomic theory to include the Keynesian model of macroeconomics.
The Fisher separation theorem
of finance theory is an application of pure microeconomics and has appeared in standard general finance textbooks for years [Brealy, Myers, Sick, and Whaley, 1986].
We show that imperfect hedging violates both the separation theorem
and the full hedging theorem.
As a consequence of the Separation Theorem
we recover, in a more general setting but which is also contained in , Ansari's Theorem.
In Chapter 4 the Fisher Separation Theorem
is proved under uncertainty in different cases.