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

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DOI

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
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     title = {Co-Rank of a {Composition} {Operator}},
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     year = {1986},
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     doi = {10.4153/CMB-1986-005-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-005-0/}
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