Square Root Problem of Kato for the Sum of Operators

Details Square Root Problem of Kato for the Sum of Operators Square Root Problem of Kato for the Sum of Operators

2003-06-19

arxiv.org/abs/math/0306295v1

Mathematics

Functional Analysis

13 pages

Scientific paper

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 Schr\"{o}dinger operators.

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