Gurarii operators are generic

Abstract

Answering a question of Garbulińska-Wȩgrzyn and Kubiś, we prove that Gurariȋ operators form a dense G δ -set in the space B(G) of all nonexpansive operators on the Gurariȋ space G, endowed with the strong operator topology. This implies that universal operators on G form a residual set in B(G).