ON NON-SELFADJOINT PERTURBATIONS OF INFINITE BAND SCHRÖDINGER OPERATORS AND KATO METHOD
Language
en
Communication dans un congrès
This item was published in
Proceedings of the conference "Harmonic Analysis, Function Theory, Operator Theory and Applications 2015", Theta Foundation, Bucharest,Roumanie, 2017., Proceedings of the conference "Harmonic Analysis, Function Theory, Operator Theory and Applications 2015", Theta Foundation, Bucharest,Roumanie, 2017., "Harmonic Analysis, Function Theory, Operator Theory and Applications 2015", Université de Bordeaux, 2015, Bordeaux. 2017p. 171-182
Theta Foundation, Bucharest, Roumanie
English Abstract
Let H_0 = −∆ + V_0 be a multidimensional Schrödinger operator with a real-valued potential and infinite band spectrum, and H = H_0 + V be its non-selfadjoint perturbation defined with the help of Kato approach. We prove ...Read more >
Let H_0 = −∆ + V_0 be a multidimensional Schrödinger operator with a real-valued potential and infinite band spectrum, and H = H_0 + V be its non-selfadjoint perturbation defined with the help of Kato approach. We prove Lieb-Thirring type inequalities for the discrete spectrum of H in the case when V_0 ∈ L^\infty (R^d) and V ∈ L^p(R^d) for certain p's.Read less <
English Keywords
Schrödinger operators
infinite band spectrum
Lieb-Thirring inequalities
relatively compact perturbation
Origin
Hal imported