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Generalization of the Newman-Shapiro isometry theorem and Toeplitz operators

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Abstract

We give a generalization of the Newman-Shapiro Isometry Theorem to the case of Hilbert space-valued entire functions, which are square-summable with respect to the Gaussian measure μ on ℂn, together with some applications in the theory of Toeplitz operators with operator-valued symbols. The study of various properties (such as density of domains, cores, closedness and boundedness from below) of these operators in illustrated with many relevant examples.

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Authors and Affiliations

  1. Instytut Matematyki, Uniwersytet Jagielloński, ul. Reymonta 4, 30-059, Kraków, Poland

    Dariusz Cichoń

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  1. Dariusz Cichoń
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Research supported by KBN under grant no. 2 P03A 041 10.

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Cichoń, D. Generalization of the Newman-Shapiro isometry theorem and Toeplitz operators. Integr equ oper theory 34, 414–438 (1999). https://doi.org/10.1007/BF01272883

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  • DOI: https://doi.org/10.1007/BF01272883

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