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
Đoàn Thái Sơn, Generic properties of the Lyapunov spectrum of compact operator cocycles on Hilbert spaces, Journal of Mathematical Analysis and Applications, Article: 131103 Volume: Volume 566, Issue 2 (2027)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. II, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 47-56, (July 2026)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. I, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 37-46, (July 2026)