Duality of gauges and symplectic forms in vector spaces

10 Jan 2019 Balestro Vitor Martini Horst Teixeira Ralph

A gauge $\gamma$ in a vector space $X$ is a distance function given by the Minkowski functional associated to a convex body $K$ containing the origin in its interior. Thus, the outcoming concept of gauge spaces $(X, \gamma)$ extends that of finite dimensional real Banach spaces by simply neglecting the symmetry axiom (a viewpoint that Minkowski already had in mind)... (read more)

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