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

Voir la notice de l'article provenant de la source Cambridge University Press

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
@article{10_4153_CMB_1991_040_1,
     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/}
}
TY  - JOUR
AU  - Nakazi, Takahiko
TI  - Absolute Values of Toeplitz Operators and Hankel Operators
JO  - Canadian mathematical bulletin
PY  - 1991
SP  - 249
EP  - 253
VL  - 34
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-040-1/
DO  - 10.4153/CMB-1991-040-1
ID  - 10_4153_CMB_1991_040_1
ER  - 
%0 Journal Article
%A Nakazi, Takahiko
%T Absolute Values of Toeplitz Operators and Hankel Operators
%J Canadian mathematical bulletin
%D 1991
%P 249-253
%V 34
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-040-1/
%R 10.4153/CMB-1991-040-1
%F 10_4153_CMB_1991_040_1

[1] 1. Cotlar, M. and Sadosky, C., On the Helson-Szego theorem and a related class of modified Toeplitz kernels, Proc. Symp. Pure Math. AMS 35:1 (1979), 383–407. Google Scholar

[2] 2. Devinatz, A., Toeplitz operators on H2 spaces, Trans. Amer. Math. Soc. 112 (1964), 304–317. Google Scholar

[3] 3. Douglas, R. G., Banach Algebra Techniques in Operator Theory, Academic Press, New York and London, 1972. Google Scholar

[4] 4. Douglas, R. G., On majorization, factorization, and range inclusion of operators on Hilbert space, Proc. Amer. Math. Soc. 17 (1966), 413–416. Google Scholar

[5] 5. Garnett, J., Bounded Analytic Functions, Academic Press, New York, N.Y, 1981. Google Scholar

[6] 6. Koosis, P., Weighted quadratic means of Hilbert transforms, Duke Math. J. 38 (1971), 609–634. Google Scholar

[7] 7. Nehari, Z., On bounded billinear forms, Ann. of Math. 65 (1957), 153–162. Google Scholar

[8] 8. Power, S. C., Hankel Operators On Hilbert Space, Research Notes in Math. 64, Pitman Advanced Publishing Program, 1982. Google Scholar

Cité par Sources :