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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