Geodesic
A Note on M-Ideals of Compact operators
Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 434-440

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Suppose X and Y are closed subspaces of (ΣXn)p and (ΣYn)q (1 < p ≦ q < ∞, dim Xn < ∞, dimYn < ∞), respectively. If K(X, Y), the space of the compact linear operators from X to Y, is dense in L(X, Y), the space of the bounded linear operators from X to Y, in the strong operator topology, then K(X, Y) is an M-ideal in L(X, Y).
DOI : 10.4153/CMB-1989-062-8
Mots-clés : 46A32, 47B05, 47B05, 41A50, Compact operators, M-ideal, finite dimensional decomposition, strong operator topology, compact approximation property 
Cho, Chong-Man. A Note on M-Ideals of Compact operators. Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 434-440. doi: 10.4153/CMB-1989-062-8
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     title = {A {Note} on {M-Ideals} of {Compact} operators},
     journal = {Canadian mathematical bulletin},
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     year = {1989},
     volume = {32},
     number = {4},
     doi = {10.4153/CMB-1989-062-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-062-8/}
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