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Weighted and Unweighted Composition Operators Close to Isometries

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Abstract

In this paper, we study composition and weighted composition operators that are close to isometries on \({\mathcal {H}}^2\) but not necessarily isometric. We also obtain a Wold type decomposition for such operators.

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Acknowledgements

We would like to thank Prof. Isabelle Chalendar for some helpful discussions during the writing of this article.

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Correspondence to Sachi Srivastava.

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Sachi Srivastava is grateful for the support of the FRP Grant 2020 & 2021, from IoE, University of Delhi.

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Anand, J., Lata, S. & Srivastava, S. Weighted and Unweighted Composition Operators Close to Isometries. Mediterr. J. Math. 21, 144 (2024). https://doi.org/10.1007/s00009-024-02688-z

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  • DOI: https://doi.org/10.1007/s00009-024-02688-z

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