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Article Dans Une Revue Journal of Operator Theory Année : 2017

On semibounded Toeplitz operators

Résumé

We show that a semibounded Toeplitz quadratic form is closable in the space $\ell^2({\Bbb Z}_{+})$ if and only if its matrix elemens are Fourier coefficients of an absolutely continuous measure. We also describe the domain of the corresponding closed form. This allows us to define semibounded Toeplitz operators under minimal assumptions on their matrix elements.

Dates et versions

hal-01355736 , version 1 (24-08-2016)

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Citer

Dimitri R Yafaev. On semibounded Toeplitz operators. Journal of Operator Theory, 2017, 77 (1), pp.205-216. ⟨10.7900/jot.2016mar20.2095⟩. ⟨hal-01355736⟩
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