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Toeplitz operators in Bargmann spaces

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Abstract

In this paper we study the notion of Toeplitz operators in a Bargmann space; more precisely it is shown that every bounded operator is the uniform limit of Toeplitz operators. We generalize the definition of a Toeplitz operator and show that a large class of operators, which includes the bounded operators, are “generalized Toeplitz operators”.

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  1. Département de mathématiques et de statistique, Université de Montréal, Montréal, Québec, Canada

    Henri-François Gautrin

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  1. Henri-François Gautrin
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Gautrin, HF. Toeplitz operators in Bargmann spaces. Integr equ oper theory 11, 173–185 (1988). https://doi.org/10.1007/BF01272117

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  • DOI: https://doi.org/10.1007/BF01272117

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