On the Kato square root problem

Yury Arlinskiĭ

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arXiv · 2105.03900

On the Kato square root problem

Yury Arlinskiĭ

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Abstract

In the infinite-dimensional separable complex Hilbert space we construct new abstract examples of unbounded maximal accretive and maximal sectorial operators $B$ for which ${\rm dom\,}B^{\frac{1}{2}}\ne{\rm dom\,}B^{*{\frac{1}{2}}}$. New criterions for the equality are established.

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Yury Arlinskiĭ. 2021-05-09. On the Kato square root problem. https://arxiv.org/abs/2105.03900

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