Geodesic
Inner Functions and Toeplitz Operators
Canadian mathematical bulletin, Tome 36 (1993) no. 3, pp. 324-331

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

We give characterizations of Toeplitz operators on generalised H 2 spaces and derive some properties of the corresponding Toeplitz algebras. The proofs depend essentially on having a "sufficient" supply of inner functions.
DOI : 10.4153/CMB-1993-045-9
Mots-clés : 47B35, 47C15, 46J15 
Murphy, Gerard J. Inner Functions and Toeplitz Operators. Canadian mathematical bulletin, Tome 36 (1993) no. 3, pp. 324-331. doi: 10.4153/CMB-1993-045-9
@article{10_4153_CMB_1993_045_9,
     author = {Murphy, Gerard J.},
     title = {Inner {Functions} and {Toeplitz} {Operators}},
     journal = {Canadian mathematical bulletin},
     pages = {324--331},
     year = {1993},
     volume = {36},
     number = {3},
     doi = {10.4153/CMB-1993-045-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-045-9/}
}
TY  - JOUR
AU  - Murphy, Gerard J.
TI  - Inner Functions and Toeplitz Operators
JO  - Canadian mathematical bulletin
PY  - 1993
SP  - 324
EP  - 331
VL  - 36
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-045-9/
DO  - 10.4153/CMB-1993-045-9
ID  - 10_4153_CMB_1993_045_9
ER  - 
%0 Journal Article
%A Murphy, Gerard J.
%T Inner Functions and Toeplitz Operators
%J Canadian mathematical bulletin
%D 1993
%P 324-331
%V 36
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-045-9/
%R 10.4153/CMB-1993-045-9
%F 10_4153_CMB_1993_045_9

[1] 1. Axler, S., Bergman spaces and their operators. In: Surveys of some Recent Results in Operator Theory, Vol. I, (eds. Conway, J. B. and B. B. Morrel), Pitman Res. Notes in Math. 171, Longman, Essex-New York, 1988. Google Scholar

[2] 2. Bernard, A., Garnett, J. B. and Marshall, D. E., Algebras generated by inner functions, J. Funct. Anal. 25(1977), 275–285. Google Scholar

[3] 3. Boutet, L. de Monvel, On the index of Toeplitz operators of several complex variables, Invent. Math. 50(1979), 249–272. Google Scholar

[4] 4. Browder, A., Introduction to Function Algebras, Benjamin, New York-Amsterdam, 1969. Google Scholar

[5] 5. Coburn, L. A., Douglas, R. G., Schaeffer, D. and Singer, I. M., C*-algebras of operators on a half-space II, Index theory, Inst. Hautes Etudes Sci. Publ. Math. 40(1971), 69–79. Google Scholar

[6] 6. Devinatz, A., Toeplitz operators on H1-spaces, Trans. Amer. Math. Soc. 112(1964), 304–317. Google Scholar

[7] 7. Leibowitz, G., Lectures on Complex Function Algebras, Scott-Foresman, Illinois, 1970. Google Scholar

[8] 8. Muhly, P. and Renault, J., C* -algebras of multivariate Wiener-Hopf operators, Trans. Amer. Math. Soc. 274(1982), 1–44. Google Scholar

[9] 9. Murphy, G. J., Ordered groups and Toeplitz C*-algebras, J. Operator Theory 18(1987), 303–326. Google Scholar

[10] 10. Murphy, G. J., Spectral and index theory for Toeplitz operators, Proc. Royal Irish Acad. (A) 91(1991), 1–6. Google Scholar

[11] 11. Murphy, G. J., Almost-invertible Toeplitz operators and K-theory, Integral Equations and Operator Theory 15 (1992), 72–81. Google Scholar

[12] 12. Murphy, G. J., An index theorem for Toeplitz operators, J. Operator Theory, to appear. Google Scholar

[13] 13. Murphy, G. J., Toeplitz operators on generalised H2 spaces, Integral Equations and Operator Theory 15(1992), 825–852. Google Scholar

[14] 14. Tomiyama, J. and Yabuta, K., Toeplitz operators for uniform algebras, Tôhoko Math. J. 30(1978), 117–129. Google Scholar

[15] 15. Upmeier, H., Fredholm indices for Toeplitz operators on bounded symmetric domains, Amer. J. Math. 110(1988), 811–832. Google Scholar

[16] 16. Upmeier, H., Toeplitz operators on bounded symmetric domains, Trans. Amer. Math. Soc. 280(1983), 221–237. Google Scholar

Cité par Sources :