紧的本质扩张上算子的正则性
Regularity of operators on essential extensions of the compacts
摘要：
希尔伯特C^*-模上的半正则算子，或者等价地，其上的“紧”算子的C^*-代数上的半正则算子，是一个可闭的稠定算子，其伴随也是稠定的。证明了对于紧的酉或交换C^*-代数扩张上的算子，半正则性导致正则性。讨论了两个来自量子群的例子。
英文摘要：
A semiregular operator on a Hilbert C^*-module, or equivalently, on the C^*-algebra of `compact' operators on it, is a closable densely defined operator whose adjoint is also densely defined. It is shown that for operators on extensions of compacts by unital or abelian C^*-algebras, semiregularity leads to regularity. Two examples coming from quantum groups are discussed.
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。
