Functional Analysis, Sobolev Spaces and Partial ...
We recall that a functional is a function defined on E, or on some subspace of E, with values in R. The main result of this section concerns the extension of a linear functional defined on a linear subspace of E by a linear functional defined on all of E. Theorem 1.1 (Helly, Hahn–Banach analytic form). Let p: E → R be a function satisfying1
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