论文标题
Schatten的飞机 - $ 3 $
Planes in Schatten-$3$
论文作者
论文摘要
我们证明，schatten-3的任何二维实际子空间都可以线性地嵌入到$ l_ {3} $中。这解决了$ p = 3 $ hanner对沙顿班的不平等现象，该班级由鲍尔，卡伦和利布猜想。我们猜想任何$ p \ geq 1 $都可以使用类似的等距嵌入。
We prove that any two-dimensional real subspace of Schatten-3 can be linearly isometrically embedded into $L_{3}$. This resolves the case $p = 3$ of Hanner's inequality for Schatten classes, conjectured by Ball, Carlen and Lieb. We conjecture that similar isometric embedding is possible for any $p \geq 1$.
