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• W2896732251 abstract "We discuss the reflexivity of hyperexpansions and their Cauchy dual operators. In particular, we show that any cyclic completely hyperexpansive operator is reflexive. We also establish the reflexivity of the Cauchy dual of an arbitrary $2$-hyperexpansive operator. As a consequence, we deduce the reflexivity of the so-called Bergman-type operator, that is, a left-invertible operator $T$ satisfying the inequality $TT^* + (T^*T)^{-1} leqslant 2 I_{mathcal H}.$" @default.
• W2896732251 created "2018-10-26" @default.
• W2896732251 creator A5047529678 @default.
• W2896732251 creator A5056892185 @default.
• W2896732251 date "2018-10-12" @default.
• W2896732251 modified "2023-09-27" @default.
• W2896732251 title "The reflexivity of hyperexpansions and their Cauchy dual operators" @default.
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• W2896732251 hasPublicationYear "2018" @default.
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