关于正算子的绝对连续性的注释

IF 0.6 4区数学 Q3 MATHEMATICS

International Journal of Mathematics Pub Date : 2023-07-10 DOI:10.1142/s0129167x23500581

H. Kosaki

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引用次数: 0

摘要

Ando研究了(有界)正算子的Lebesgue分解，其中称为极大绝对连续部分的概念起着至关重要的作用。基于涉及无界算子的技术，研究了极大绝对连续部分的某些表达式、Radon-Nikodym型结果、极大绝对连续部分在张量积运算下的行为以及相互绝对连续的表征等。

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Remarks on absolute continuity of positive operators

Ando studied Lebesgue decomposition for (bounded) positive operators, where a notion known as the maximal absolutely continuous part plays a crucial role. Based on technique involving unbounded operators we study certain expressions for the maximal absolutely continuous part, Radon–Nikodym type results, behavior of the maximal absolutely continuous part under the tensor product operation and characterization of mutual absolute continuity and so on.

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来源期刊

International Journal of Mathematics 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： The International Journal of Mathematics publishes original papers in mathematics in general, but giving a preference to those in the areas of mathematics represented by the editorial board. The journal has been published monthly except in June and December to bring out new results without delay. Occasionally, expository papers of exceptional value may also be published. The first issue appeared in March 1990.