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arXiv · 2112.02283

Gurarii operators are generic

Taras Banakh·Joanna Garbulińska-Wȩgrzyn
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Abstract

Answering a question of Garbuli\'nska-W\c{e}grzyn and Kubi\'s, we prove that Gurarii operators form a dense $G_\delta$-set in the space $\mathcal B(\mathbb G)$ of all nonexpansive operators on the Gurarii space $\mathbb G$, endowed with the strong operator topology. This implies that the set of universal operators on $\mathbb G$ form a residual set in $\mathcal B(\mathbb G)$.

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Taras Banakh, Joanna Garbulińska-Wȩgrzyn. 2021-12-04. Gurarii operators are generic. https://arxiv.org/abs/2112.02283

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