TY  - JOUR
ID  - Yafaev2018
LB  - Yafaev2018
AU  - Yafaev, Dmitri R.
TI  - Toeplitz versus Hankel: semibounded operators
ST  - Toeplitz versus Hankel: semibounded operators
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2018
VL  - 38
IS  - 4
SP  - 573
EP  - 590
DO  - https://doi.org/10.7494/OpMath.2018.38.4.573
UR  - https://doi.org/10.7494/OpMath.2018.38.4.573
AB  - Our goal is to compare various results for Toeplitz \(T\) and Hankel \(H\) operators. We consider semibounded operators and find necessary and sufficient conditions for their quadratic forms to be closable. This property allows one to define \(T\) and \(H\) as self-adjoint operators under minimal assumptions on their matrix elements. We also describe domains of the closed Toeplitz and Hankel quadratic forms.
KW  - semibounded Toeplitz
KW  - Hankel and Wiener-Hopf operators
KW  - closable and closed quadratic forms
SN  - 1232-9274
ER  -