Let p be defined on a vector space X and is a sublinear functional.show that for any given xo∈ X there is a?
Let p be defined on a vector space X and is a sublinear functional.show that for any given xo∈ X there is a linear functional f on X such that f(xo)=p(xo) and |f(x)|≦p(x)
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typing the answer out is a little difficult but the thing you are looking for is here: (Hahn - Banach theorem)
http://courses.engr.illinois.edu/ece580/n11.pdf