Tensor products of semi-closed operators and applications

IF 1 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2025-09-04 DOI:10.1007/s43034-025-00467-9

Go Hirasawa

引用次数: 0

Abstract

We introduce the q-tensor product of semi-closed operators. Related basic properties between algebraic tensor products, tensor products and q-tensor products are studied. The q-tensor product of semi-closed or closed projections is considered. It is shown that the tensor product can be defined for ‘non-densely defined’ closable operators using properties of q-tensor products. As applications, we investigate relations between (q-) tensor products and the Krein—von Neumann extension of a semi-closed positive symmetric operator with the positively closable condition.

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半闭算子的张量积及其应用

引入了半闭算子的q张量积。研究了代数张量积、张量积和q张量积之间的相关基本性质。考虑了半闭投影和闭投影的q张量积。利用q-张量积的性质，证明了张量积可以定义为“非密定义”闭算子。作为应用，我们研究了具有正闭条件的半闭正对称算子的Krein-von Neumann扩展与（q-）张量积之间的关系。

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

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.