Geodesic
Co-Rank of a Composition Operator
Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 33-36

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

A composition operator CT on L2(X, Σ,m) is a bounded linear transformation induced by a mapping T : X → X via CTf = f∘ T.If m has no atoms then the co-rank of CT (i.e., dim is either zero or infinite. As a corollary, when m has no atoms, CT is a Fredholm operator iff it is invertible.
DOI : 10.4153/CMB-1986-005-0
Mots-clés : Primary 47B99, Secondary 47B38, Composition operator, co-rank, Fredholm operator 
Harrington, David J. Co-Rank of a Composition Operator. Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 33-36. doi: 10.4153/CMB-1986-005-0
@article{10_4153_CMB_1986_005_0,
     author = {Harrington, David J.},
     title = {Co-Rank of a {Composition} {Operator}},
     journal = {Canadian mathematical bulletin},
     pages = {33--36},
     year = {1986},
     volume = {29},
     number = {1},
     doi = {10.4153/CMB-1986-005-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-005-0/}
}
TY  - JOUR
AU  - Harrington, David J.
TI  - Co-Rank of a Composition Operator
JO  - Canadian mathematical bulletin
PY  - 1986
SP  - 33
EP  - 36
VL  - 29
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-005-0/
DO  - 10.4153/CMB-1986-005-0
ID  - 10_4153_CMB_1986_005_0
ER  - 
%0 Journal Article
%A Harrington, David J.
%T Co-Rank of a Composition Operator
%J Canadian mathematical bulletin
%D 1986
%P 33-36
%V 29
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-005-0/
%R 10.4153/CMB-1986-005-0
%F 10_4153_CMB_1986_005_0

[1] 1. Dunford, N. and Schwartz, J. T., Linear Operators I, Interscience, New York, 1958. Google Scholar

[2] 2. Harrington, D.J. and Whitley, R., Seminormal Composition Operators, J. Operator Theory, 11 (1984), pp. 125–135. Google Scholar

[3] 3. Kumar, A., Fredholm Composition Operators, Proc. Amer. Math. Soc, 79 (1980), pp. 233–236. Google Scholar

[4] 4. Nordgren, E., Composition Operators, Hilbert Space Operators Proceedings 1977, Lecture Notes in Mathematics No. 693, Springer-Verlag, Berlin, 1978. Google Scholar

[5] 5. Ridge, W. C., Spectrum of a Composition Operator, Proc. Amer. Math. Soc, 37 (1973), pp. 121—127. Google Scholar

[6] 6. Whitley, R. J., Normal and Quasinormal Composition Operators, Proc. Amer. Math. Soc, 70 (1978), pp. 114–117. Google Scholar

Cité par Sources :