Existence of C² solutions to the inhomogeneous Jordan-von Neumann equation is equivalent to g being C² and satisfying a cocycle identity, with the solution given by an integral involving the second partial of g.
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Derives primal-dual characterizations of sign-symmetric norms on product spaces and extends Clarkson's result on the von Neumann-Jordan constant to general normed vector spaces.
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An integral formula for the inhomogeneous Jordan--von Neumann equation
Existence of C² solutions to the inhomogeneous Jordan-von Neumann equation is equivalent to g being C² and satisfying a cocycle identity, with the solution given by an integral involving the second partial of g.
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Primal and dual characterizations of sign-symmetric norms
Derives primal-dual characterizations of sign-symmetric norms on product spaces and extends Clarkson's result on the von Neumann-Jordan constant to general normed vector spaces.