插值与带权的交换提升
Interpolation and Commutant Lifting with Weights
摘要：
我们的两个主要目标是广义的交换提升定理和Nevanlinna-Pick内插定理的上下文中的Hardy代数建立从$W^*$ -对应赋予序列的权重。这些定理分别推广了Muhly和Solel在1998年和2004年的定理，这些定理是在没有权重的情况下证明的。特别感兴趣的是，在我们的设置是一个后果的帕罗特引理，它的灵感来自阿里亚斯工作的交换提升。
英文摘要：
Our two principle goals are generalizations of the commutant lifting theorem and the Nevanlinna-Pick interpolation theorem to the context of Hardy algebras built from $W^*$-correspondences endowed with a sequence of weights. These theorems generalize theorems of Muhly and Solel from 1998 and 2004, respectively, which were proved in settings without weights. Of special interest is the fact that commutant lifting in our setting is a consequence of Parrott's Lemma; it is inspired by work of Arias.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
