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Norm estimates for selfadjoint Toeplitz operators on the Fock space

Published 3 Feb 2021 in math.FA | (2102.02031v1)

Abstract: An estimate for the norm of selfadjoint Toeplitz operators with a radial, bounded and integrable symbol is obtained. This emphasizes the fact that the norm of such operator is strictly less than the supremum norm of the symbol. Consequences for time-frequency localization operators are also given.

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