On complex symmetric weighted shifts
Functional Analysis
2025-10-23 v1
Abstract
Unbounded complex symmetric weighted shifts are studied. Complex symmetric unilateral weighted shifts whose 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.
Keywords
Cite
@article{arxiv.2411.17664,
title = {On complex symmetric weighted shifts},
author = {Chafiq Benhida and Piotr Budzyński},
journal= {arXiv preprint arXiv:2411.17664},
year = {2025}
}
Comments
15 pages, no figures