Mathematik-Bericht 2010/5 An eigenvalue estimate and its application to non-selfadjoint Jacobi and Schrödinger operators
نویسندگان
چکیده
For bounded linear operators A,B on a Hilbert space H we show the validity of the estimate ∑ λ∈σd(B) dist(λ,Num(A)) ≤ ‖B −A‖pSp , p ≥ 1, and apply it to recover and improve some Lieb-Thirring type inequalities for non-selfadjoint Jacobi and Schrödinger operators.
منابع مشابه
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