Brown-Halmos Type Theorems of Weighted Toeplitz Operators
Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 196-206
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The spectra of the Toeplitz operators on the weighted Hardy space ${{H}^{2}}\,(W\,d\theta \,/\,2\pi )$ and the Hardy space ${{H}^{p}}\,(d\theta \,/\,2\pi )$ , and the singular integral operators on the Lebesgue space ${{L}^{2}}\,(d\theta \,/\,2\pi )$ are studied. For example, the theorems of Brown-Halmos type and Hartman-Wintner type are studied.
Mots-clés :
47B35, Toeplitz operator, singular integral operator, weighted Hardy space, spectrum
Nakazi, Takahiko. Brown-Halmos Type Theorems of Weighted Toeplitz Operators. Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 196-206. doi: 10.4153/CMB-1998-029-2
@article{10_4153_CMB_1998_029_2,
author = {Nakazi, Takahiko},
title = {Brown-Halmos {Type} {Theorems} of {Weighted} {Toeplitz} {Operators}},
journal = {Canadian mathematical bulletin},
pages = {196--206},
year = {1998},
volume = {41},
number = {2},
doi = {10.4153/CMB-1998-029-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-029-2/}
}
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