On complex symmetric weighted shifts

被引：0
作者：
Benhida, Chafiq [1 ]
Budzynski, Piotr [2 ]
机构：
[1] Univ Sci & Technol Lille, UFR Math, F-59655 Villeneuve Dascq, France
[2] Agr Univ Krakow, Katedra Zastosowan Matemat, ul Balicka 253c, PL-30198 Krakow, Poland
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2025年 / 708卷
关键词：
Weighted shift; Unilateral weighted shift; Bilateral weighted shift; Truncated weighted shift; Complex symmetric operator; J-SELFADJOINT EXTENSIONS; OPERATORS;
D O I：
10.1016/j.laa.2024.11.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Unbounded complex symmetric weighted shifts are studied. Complex symmetric unilateral weighted shifts whose C infinity vectors contain the image of the canonical orthonormal basis under the conjugation are shown to be decomposable into an orthogonal sum of infinitely many complex selfadjoint truncated weighted shifts, which generalizes a result of S. Zhu and C.G. Li. The bilateral case is discussed as well. Additional results, examples, and open problems are supplied. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页码：217 / 235
页数：19
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