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Square Root Problem of Kato for the Sum of Operators

Toka Diagana
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Abstract

This paper is concerned with the square root problem of Kato for the "sum" of linear operators in a Hilbert space ${\mathbb H}$. 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.

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Toka Diagana. 2003-06-19. Square Root Problem of Kato for the Sum of Operators. https://arxiv.org/abs/math/0306295

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