On the similarity of boundary triples for dual pairs

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2026-04-05 Epub Date: 2026-02-26 DOI:10.1002/mana.70118

Rytis Juršėnas

引用次数: 0

Abstract

The Weyl family of a dual pair $A \subset B^{c}$ of operators in a Krein space determines a minimal boundary triple uniquely up to similarity; if $A = B$ , a necessary and sufficient condition in order that the similarity should be unitary is given.

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关于对偶对边界三元组的相似性

Krein空间中算子的对偶对a∧B c$ a \子集B^c$的Weyl族决定了一个最小边界三重唯一到相似度；当A=B$ A=B$时，给出了相似性是酉的充分必要条件。

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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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index