Rational approximation of holomorphic semigroups revisited
Abstract Using a recently developed ‐calculus we propose a unified approach to the study of rational approximations of holomorphic semigroups on Banach spaces. We provide unified and simple proofs to a number of basic results on semigroup approximations and substantially improve some of them. We show that many of our estimates are essentially optimal, thus complementing the existing literature.
Authors
- A. M. Gomilko (ORCID: https://orcid.org/0000-0002-4915-1120)
- C. J. K. Batty (ORCID: https://orcid.org/0000-0002-6168-5475)
- Yuri Tomilov (ORCID: https://orcid.org/0000-0002-1935-2001)
Institutions
- Nicolaus Copernicus University (PL)
- University of Oxford (GB)
- Institute of Mathematics (PL)
- Polish Academy of Sciences (PL)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1112/jlms.70066
- Citations
- 2
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 3.01
Funders
- Narodowe Centrum Nauki