Geodesic
M-Ideals in L(l1, E)
Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 3-10

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In this article it is shown that for any Banach space E,L (l1,E) always contains uncountably many distinct A/-ideals that are closed subspaces of K(l1,E) and which are not complemented in L (l1,E) . Using standard duality arguments one obtains the result that infinitely many distinct subspaces of K(E, c0) are M-ideals in L(E, c0). In particular, for the case E = c0, this shows that the uniqueness conditions enjoyed by K(lp), p > 1, is not valid for E = c0. The results are obtained by utilizing the identification of L (l1,E) with the vector-valued sequence space lx(E) and to exploit natural decompositions of lx(E)’ afforded by a class of Lprojections on lx(E)’ induced by certain E'-valued vector measures.
DOI : 10.4153/CMB-1986-001-5
Mots-clés : Primary 46B20, Secondary 46A32 
Fleming, D. J.; Giarrusso, D. M. M-Ideals in L(l1, E). Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 3-10. doi: 10.4153/CMB-1986-001-5
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     title = {M-Ideals in {L(l1,} {E)}},
     journal = {Canadian mathematical bulletin},
     pages = {3--10},
     year = {1986},
     volume = {29},
     number = {1},
     doi = {10.4153/CMB-1986-001-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-001-5/}
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