论文标题
统一跨界的限制
Restriction of Uniform Crossnorms
论文作者
论文摘要
考虑张量产品$ {x \otimes_αy} $ n Normed Spaces $ x $和$ y $的空间$ b [x \otimes_αy] $ $ {x \otimes_αy} $，配备了均匀的crossNorm $ {\ | \ cdot \ cdot \ |__α} $。 $ {b [x] \ otimes b [y]} $ of操作员代数$ b [x] $和$ b [y]。
Consider the space $B[X\otimes_αY]$ of operators on the tensors product ${X\otimes_αY}$ of normed spaces $X$ and $Y$ equipped with a uniform crossnorm ${\|\cdot\|_α}$$.$ Take the induced uniform norm on $B[X\otimes_αY]$ and consider its restriction to the tensor product ${B[X]\otimes B[Y]}$ of the algebra of operators $B[X]$ and $B[Y].$ It is proved that such a restriction is a reasonable crossnorm on ${B[X]\otimes B[Y]}$.
