Geodesic
Composition Operators
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 442-449

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

The object of this note is to report on some of the properties of a class of operators induced by inner functions. If m is normalized Lebesgue measure on the unit circle X in the complex plane and C φ is an inner function (a complex function on X of unit modulus almost everywhere whose Poisson integral is a non-constant holomorphic function in the open unit disk), then an operator C φ on L 2(m) is defined by 
Nordgren, Eric A. Composition Operators. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 442-449. doi: 10.4153/CJM-1968-040-4
@article{10_4153_CJM_1968_040_4,
     author = {Nordgren, Eric A.},
     title = {Composition {Operators}},
     journal = {Canadian journal of mathematics},
     pages = {442--449},
     year = {1968},
     volume = {20},
     number = {1},
     doi = {10.4153/CJM-1968-040-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-040-4/}
}
TY  - JOUR
AU  - Nordgren, Eric A.
TI  - Composition Operators
JO  - Canadian journal of mathematics
PY  - 1968
SP  - 442
EP  - 449
VL  - 20
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-040-4/
DO  - 10.4153/CJM-1968-040-4
ID  - 10_4153_CJM_1968_040_4
ER  - 
%0 Journal Article
%A Nordgren, Eric A.
%T Composition Operators
%J Canadian journal of mathematics
%D 1968
%P 442-449
%V 20
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-040-4/
%R 10.4153/CJM-1968-040-4
%F 10_4153_CJM_1968_040_4

[1] 1. Brown, A., On a class of operators, Proc. Amer. Math. Soc, 4 (1953), 723–728. Google Scholar

[2] 2. Ford, L. R., Automorphic functions (New York, 1929). Google Scholar

[3] 3. Halmos, P. R., Shifts on Hilbert spaces, J. Reine Angew. Math., 208 (1961), 102–112. Google Scholar

[4] 4. Hoffman, K., Banach spaces of analytic functions (Englewood Cliffs, N.J., 1962). Google Scholar

Cité par Sources :