3 papers
math.AP2026
Transport equation theory in the Triebel-Lizorkin spaces and its applications to the ideal fluid flows
Qianyuan Zhang, Kai Yan
In this paper, we develop a general theory for the transport equation within the framework of Triebel-Lizorkin spaces. We first derive commutator estimates in these spaces, dispens…
math.FA2025
On the spectral identities and fundamental properties of one-sided Drazin inverses in Banach algebras
Kai Yan
We establish several fundamental properties of one-sided (generalized) Drazin inverses in Banach algebras, including intertwining properties and reverse order laws. In particular,…
math.FA2024
One-sided Drazin inverses in Banach algebras and perturbations of B-Fredholm spectra
Kai Yan
The famous Drazin inverse and generalized Drazin inverse were introduced by Drazin in 1958 and Koliha in 1996, respectively. In the present paper, the author introduces the concept…