On semibounded Toeplitz operators
Functional Analysis
2016-05-25 v2 Classical Analysis and ODEs
Spectral Theory
Abstract
We show that a semibounded Toeplitz quadratic form is closable in the space 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.
Cite
@article{arxiv.1603.06229,
title = {On semibounded Toeplitz operators},
author = {D. R. Yafaev},
journal= {arXiv preprint arXiv:1603.06229},
year = {2016}
}
Comments
This is a slightly revised version of the article, arXiv:1603.06229v1, with the same tittle. Some misprints has been removed and some arguments has been made more clear. The results are unchaged. To appear in J. Operator theory