Year: 2026
Type: preprint
Abstract: This paper establishes essentially optimal asymptotic bounds for Kolmogorov widths under holomorphic mappings between complex Banach spaces. Given a compact parameter set whose Kolmogorov widths decay algebraically with rate s, we prove that the widths of its image under a holomorphic mapping decay algebraically with every rate t
Source: arXiv (Cornell University)
Authors: Li, Yuwen, Zhang, Guozhi
Institution: Zhejiang University
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G5611576681
OpenAlex ID: W7201837119