Several authors have studied the problem of making an asymmetric cone symmetric through a change of inner product, and one set of positive results pertains to the class of elliptic cones. We demonstrate that the class of elliptic cones is equal to the class of induced-norm cones that arise through Jordan-isomorphism with the second-order cone, thereby showing that this symmetry result was essentially known.

中文翻译：

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关于诱导范锥的对称性

几位作者研究了通过改变内积来使不对称圆锥对称的问题，一组积极的结果与椭圆圆锥有关。我们证明了椭圆锥的类别等于通过与二阶锥的乔丹同构而产生的诱导范数锥的类别，从而表明该对称结果是实质上已知的。