<正> The notion of super-isometric dilation is introduced and some elementary properties of this dilation are established. It is shown that the Bergman shift is super-isometrically dilatable, and it is proved, i...<正> The notion of super-isometric dilation is introduced and some elementary properties of this dilation are established. It is shown that the Bergman shift is super-isometrically dilatable, and it is proved, in addition, that for φ,ψ and f in H~∞(D), is unitarily equivalent to M_f iff φ=ψ=f=const. provided some finite condition is satisfied.展开更多
基金Project supported by the National Natural Science Foundation of China.
文摘<正> The notion of super-isometric dilation is introduced and some elementary properties of this dilation are established. It is shown that the Bergman shift is super-isometrically dilatable, and it is proved, in addition, that for φ,ψ and f in H~∞(D), is unitarily equivalent to M_f iff φ=ψ=f=const. provided some finite condition is satisfied.
