无界正自伴随算子的绝对连续性

Pub Date : 2018-01-01 DOI:10.2206/KYUSHUJM.72.407

H. Kosaki

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引用次数: 2

摘要

T. Ando研究了正算子的绝对连续性的概念，其中这类算子的并行和起了重要作用。另一方面，我们在以前的工作中发展了密集定义的正自伴随算子(或更一般的正形式)的平行和理论。基于这一理论，我们将研究这种无界情况下的绝对连续性的概念。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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ABSOLUTE CONTINUITY FOR UNBOUNDED POSITIVE SELF-ADJOINT OPERATORS

The notion of absolute continuity for positive operators was studied by T. Ando, where parallel sums for such operators played an important role. On the other hand, a theory for parallel sums for densely defined positive self-adjoint operators (or more generally positive forms) was developed in our previous work. Based on this theory, we will investigate the notion of absolute continuity in such unbounded cases.

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