Square Root Problem of Kato for the Sum of Operators

الأصل · EN

This paper is concerned with the square root problem of Kato for the "sum" of linear operators in a Hilbert space H. Under suitable assumptions, we show that if A and B are respectively m-scetroial linear operators satisfying the square root problem of Kato. Then the same conclusion still holds for their "sum". As application, we consider perturbed Schrödinger operators.