The Brooks–Chacon Biting Lemma, the Castaing–Saadoune Procedure, and the Baum–Katz Theorem Along Subsequences
We show how the Brooks–Chacon Biting Lemma can be combined with the Castaing–Saadoune procedure to provide the complete rate of convergence along subsequences when the uniformly boundedness condition is violated.
Authors
- Liping Liu (ORCID: https://orcid.org/0000-0001-7543-1751)
- Deli Li (ORCID: https://orcid.org/0000-0001-6107-6883)
- George Stoica (ORCID: https://orcid.org/0000-0002-5830-9508)
Institutions
- University of New Brunswick (CA)
- Lakehead University (CA)
Publication Details
- Journal
- Axioms
- Published
- 2025-10-14
- DOI
- https://doi.org/10.3390/axioms14100762
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00