保护点不受操作铅笔的伤害

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Operator Theory Pub Date : 2019-08-23 DOI:10.7900/jot.2019aug23.2248

Albrecht Seelmann, Matthias Taufer, Krevsimir Veseli'c

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引用次数: 0

摘要

我们对形式为⋃t∈Rspec（A+tB）的所有集合进行分类，其中A和B是自伴随算子，B是有界的、非负的和非零的。我们证明了这些集合正是R的离散子集的补集，也就是说，R的至多可数个子集不包含它们的累积点。

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Protecting points from operator pencils

We classify all sets of the form ⋃t∈Rspec(A+tB) where A and B are self-adjoint operators and B is bounded, non-negative, and non-zero. We show that these sets are exactly the complements of discrete subsets of R, that is, of at most countable subsets of R that contain none of their accumulation points.

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来源期刊

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

期刊介绍： The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.