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• W2347149800 abstract "We obtain some conditions about the weighted shift and the composition operators on ℓp to be (m,q)-isometries. In particular, we prove that if T is a strict (2,q) isometry, then p=q, whether T is a weighted shift or a composition operator on ℓp. Moreover, we characterize the admissible weights for the weighted shift to be a strict (3,p)-isometry on ℓp. The case of strict (4,p)-isometry is also studied." @default.
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• W2347149800 date "2016-09-01" @default.
• W2347149800 modified "2023-09-30" @default.
• W2347149800 title "Weighted shift and composition operators on ℓ which are (m,q)-isometries" @default.
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• W2347149800 doi "https://doi.org/10.1016/j.laa.2016.04.032" @default.
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