论文标题
地图完全保留了二次操作员
Maps completely preserving the quadratic operators
论文作者
论文摘要
令$ \ mathcal {a} $和$ \ Mathcal {b} $是Banach Space上的标准运算符$ \ Mathcal {x} $和$ \ Mathcal {y} $。在本文中，我们表明，每个双线都完全保留了二次操作员，从$ \ Mathcal {a} $到$ \ Mathcal {B} $是同构的，或者（在复杂情况下）共轭同构。
Let $\mathcal{A}$ and $\mathcal{B}$ be standard operator algebras on Banach spaces $\mathcal{X}$ and $\mathcal{Y}$, respectively. In this paper, we show that every bijection completely preserving quadratic operators from $\mathcal{A}$ onto $\mathcal{B}$ is either an isomorphism or (in the complex case) a conjugate isomorphism.
