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Suzuki Type Estimates for Exponentiated Sums and Generalized Lie-Trotter Formulas in Banach Algebras

Authors :
Wang, Zhenhua
Publication Year :
2023

Abstract

In this note, we employ Jordan product within Banach algebras to present two error estimates of Lie-Trotter product formulas. Additionally, we introduce two generalized Lie-Trotter formula and provide two explicit estimation formulas. Consequently, the renowned Suzuki symmetrized approximation for the exponentiated sums follows directly from our Theorem 2.3. To conclude our paper, we offer a partial answer to a question concerning the Suzuki type estimations in Jordan-Banach algebras.<br />Comment: 8 pages

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2306.13791
Document Type :
Working Paper