On the concept of Yosida distance and beyond

Người báo cáo: Bùi Xuân Quang (PHENIKAA University)

Thời gian: 9h30 ngày 16/09/2025

Địa điểm: Phòng 508, nhà A6, Viện Toán học

Tóm tắt: The aim of this talk is to introduce the concept of the Yosida distance between two unbounded linear operators and to present some recent results related to this notion. I will begin by recalling some known results on linear and nonlinear perturbations of exponential dichotomies. Afterwards, I will explain the ideas that motivated the definition of the Yosida distance. In the final part, I illustrate how this distance serves as a suitable tool for studying unbounded perturbations, with recent applications to linear partial functional differential equations, stability radii, and the well-posedness of linear evolution equations.

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Xuất bản mới
Trần Quang Hóa, Đỗ Trọng Hoàng, Le Van Dinh, Nguyễn Đăng Hợp, Thái Thành Nguyễn, Asymptotic depth of invariant chains of edge ideals, Journal of Combinatorial Theory, Series A Volume 224, November 2026, 106221 .
Nguyễn Duy Tân, Nguyễn Quốc Thắng, On fields with Serre's property (F) and the finitude of Galois and flat cohomology of algebraic groups over fields, Ars Mathematica Contemporanea, v. 26 (2026), No. 3 .
Tan H. Cao, Boris S. Mordukhovich, Dao Nguyen, Trang Nguyen, Nguyễn Năng Thiều, Optimal control of nonconvex sweeping processes with variable time via finite-difference approximations, Nonlinear Analysis: Hybrid Systems Volume 61, August 2026, 101755 .