Constructive Existence of Minkowski Functionals
Copyright policy )Constructive Existence of Minkowski Functionals
In Bishop’s constructive mathematics, the framework of this paper, there are many situations where we cannot easily prove the existence of functionals whose existence is a trivial consequence of classical logic. One such functional is the Minkowski functional of a convex absorbing set. We shall prove the existence of Minkowski functionals in various spaces, and apply the theorems to establish the locatedness of the kernel of linear mappings.
Twin Prime Problem, kernels of linear mappings, Locally convex Fréchet spaces and (DF)-spaces, Constructive functional analysis, absorbing set, Other constructive mathematics, strictly constructive methods, Minkowski functional
Twin Prime Problem, kernels of linear mappings, Locally convex Fréchet spaces and (DF)-spaces, Constructive functional analysis, absorbing set, Other constructive mathematics, strictly constructive methods, Minkowski functional
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