Spectral inclusion theorems for Toeplitz operators in Hardy spaces \(H^p\) over compact abelian groups. (Russian. English summary) Zbl 1358.43003
Summary: Theorems on the localization of spectra of Toeplitz operators in Hardy spaces \(H^p\) over compact abelian groups with linearly ordered dual are proved. In particular, the case of real valued symbol is considered.
MSC:
43A17 | Analysis on ordered groups, \(H^p\)-theory |
47B35 | Toeplitz operators, Hankel operators, Wiener-Hopf operators |