Isomorphisms in Subspaces of c0
Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 571-572
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A Banach space X is said to be subspace homogeneous if for every two isomorphic closed subspaces Y and Z of X, both of infinite codimension, there is an automorphism of X (i.e. a bounded linear bijection of X) which carries Y onto Z. In [1] Lindenstrauss and Rosenthal showed that c0 is subspace homogeneous, a property also shared by l 2, and conjectured that c0 and l 2 are the only subspace homogeneous Banach spaces. In that paper no mention was made of subspaces of c0 .
Lohman, Robert H. Isomorphisms in Subspaces of c0. Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 571-572. doi: 10.4153/CMB-1971-103-8
@article{10_4153_CMB_1971_103_8,
author = {Lohman, Robert H.},
title = {Isomorphisms in {Subspaces} of c0},
journal = {Canadian mathematical bulletin},
pages = {571--572},
year = {1971},
volume = {14},
number = {4},
doi = {10.4153/CMB-1971-103-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-103-8/}
}
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