Spectrum preservers on unbounded operators

Start: 22 July 2024 10:00
End: 22 July 2024 11:00
Categories: Conference , Seminar , Instituto de Matemáticas UGR

Where: Seminario Departamento Analisis Matematico, Facultad de Ciencias

IMAG Functional Analysis Seminar
Title: Spectrum preservers on unbounded operators
By Bojan Kuzma (University of Primorska, Eslovenia)
Abstract: Unbounded, densely defined, closed operators are encountered in quantum physics when solving linear second-order partial differential equations with the method of variable separation (Sturm-Liouville problem) and as generators of strongly continuous one-parameter semigroups. Particularly important is their spectrum. We will present a recent result that classifies additive bijections preserving the spectrum of such operators and compare it to the classification of spectrum-preserving maps whose domain consists of all unbounded operators.