Geodesic
Absolute Values of Toeplitz Operators and Hankel Operators
Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 249-253

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Nehari's theorem for norms of bounded Hankel operators is revisited. Using it, the absolute values of Toeplitz operators are studied. This gives a theorem of Widom and Devinatz for invertible Toeplitz operators. 
Nakazi, Takahiko. Absolute Values of Toeplitz Operators and Hankel Operators. Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 249-253. doi: 10.4153/CMB-1991-040-1
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     author = {Nakazi, Takahiko},
     title = {Absolute {Values} of {Toeplitz} {Operators} and {Hankel} {Operators}},
     journal = {Canadian mathematical bulletin},
     pages = {249--253},
     year = {1991},
     volume = {34},
     number = {2},
     doi = {10.4153/CMB-1991-040-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-040-1/}
}
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