紧算子的Thompson定理与酉算子的对角线
Thompson's theorem for compact operators and diagonals of unitary operators
摘要：
作为Kadison的Pythageorean定理、Carpenter定理、Schur-Horn定理和Thompson定理的应用，我们得到了Schurpsons定理在紧算子上的推广，并利用这些思想给出了酉算子对角线的一个刻划.汤普森的神秘不等式有关的末项的对角线和奇异值序列起着核心作用。
英文摘要：
As applications of Kadison's Pythageorean and carpenter's theorems, the Schur-Horn theorem, and Thompson's theorem, we obtain an extension of Thompsons theorem to compact operators and use these ideas to give a characterization of diagonals of unitary operators. Thompson's mysterious inequality concerning the last terms of the diagonal and singular value sequences plays a central role.
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。
